{"as_of":"2026-08-08T02:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3cf81a7b48513224ec3df9ffb4ad61d274ee5183a540e16fdd2ea48ae56ff3a6","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:49:41.509144Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.23991/citation-record","integrity":"/paper/2505.23991/integrity","json":"/paper/2505.23991/citation-record.json","paper":"/paper/2505.23991"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:51.813978Z","title":"Arnold, Small denominators and problems of stabili ty of motion in classical and celestial mechanics","venue":null,"work_id":"fe622741-29c4-439c-b7c5-6835df94763c","year":1963},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:35.927350Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:7798296a2d586cd092947e63bbf0073ad3a676a0cf0bd4116604b512c9c265a7","observation_id":"60943ea2-e962-4d99-9559-14ba7cec2688","resolution":{"observed_at":"2026-08-07T12:49:51.913763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:51.597358Z","title":"Bakrani, J.S.W","venue":null,"work_id":"812e7595-9ec4-42ed-b682-8dc9aede3c07","year":2022},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.033201Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:d8a7351859068714a12f2b199fab56e496410fce4b116e80a8aeeb9331224fa0","observation_id":"1c39db12-f603-4bef-9063-79ee0ecf11cf","resolution":{"observed_at":"2026-08-07T12:49:51.702359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:51.347424Z","title":"Batemann, A","venue":null,"work_id":"624907f8-aac8-48e7-b292-8e3628b2e151","year":1955},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.168758Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:f5786f2373b3a9a3b50facabd1ee6a44ff8d5c99569b7791e37ef6aed6c6e89c","observation_id":"6a3f40a6-52d9-4c32-b80b-0912bcaafe96","resolution":{"observed_at":"2026-08-07T12:49:51.457824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:51.073294Z","title":"Belyakov, L.Yu","venue":null,"work_id":"e21405ff-261f-4ce0-9332-a0adb387253c","year":1997},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.262586Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:904df1710a66adc68da6ab832db72d77ee607a68341a5b014868823c024d8738","observation_id":"d636d9c7-0a45-43d7-afc3-9a4aef079ff8","resolution":{"observed_at":"2026-08-07T12:49:51.173275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:36.356208Z","title":"Bernard, V","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.356208Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:771d9e1b085347256f4c576f1704c429dd4a87dc5accce629e58e3d962ca775c","observation_id":"590c69fe-2128-4f19-a101-57fbf4d4bd07","resolution":{"observed_at":"2026-08-07T12:49:36.356208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:50.777851Z","title":"Broer, H","venue":null,"work_id":"c5014d6b-c2a8-470d-88bd-53340e9abf5c","year":2021},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.457401Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:48fd9b8929d4cd36bcfbb7c3bc3b416cec937d818cfb291d21da08245a4355bc","observation_id":"555e071d-1c13-494d-8628-ea9cc9ddfdd2","resolution":{"observed_at":"2026-08-07T12:49:50.916442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:50.457738Z","title":"Chow, Ch","venue":null,"work_id":"0091e3a2-c0b4-4b1e-bdd1-dde2a085b9c4","year":1994},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.580126Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:8877f670da38db1c8a9243443adc65d4f1fcbb74a6f6eb1ef6bddb2411f2cc91","observation_id":"9a2d2ca4-071c-4467-9aae-03d40a6e1984","resolution":{"observed_at":"2026-08-07T12:49:50.625100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:50.203770Z","title":null,"venue":null,"work_id":"d4d60f34-6775-4b9b-9228-40555d146bf9","year":1978},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.671167Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:0f95c6813673d247f5a21b9956064e61530f06246862f5344d7b85d1a14ae699","observation_id":"c7141ed2-c762-41f4-b4d4-437185d25337","resolution":{"observed_at":"2026-08-07T12:49:50.309067Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.923789Z","title":"Cushman, L.M","venue":null,"work_id":"8c811a64-e98e-4409-a915-01a77ede2b14","year":1997},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.743777Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:1183c2f336c6fdcc38fe842cad07f6a823d98add4e69c8bf71aec0607ab8ecba","observation_id":"e18d0f75-7569-41cb-88c9-647b66304aa2","resolution":{"observed_at":"2026-08-07T12:49:50.058664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.757833Z","title":"Memoirs of the American Mathematical Soci ety, vol","venue":null,"work_id":"fd22fe87-8854-4531-93c3-c432bf8d4a72","year":2006},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.829387Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:287120cfbdbb49f5547f2b4155cdb0b36ad7382beb83606e467dc80dd7f33a8d","observation_id":"b0bfa769-bb9b-4dfe-927e-f1f3ac25ea9a","resolution":{"observed_at":"2026-08-07T12:49:49.818392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.614636Z","title":"Deprit, J","venue":null,"work_id":"5748ada6-9c3f-4844-bc16-09ac61cae24f","year":1969},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:36.913034Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:6ec012967effc33d54a1c8ce7cefe30c38dbf588366c06c16ff782643e8dfa6d","observation_id":"ab281666-5a34-40ea-9259-7b376cdd31c6","resolution":{"observed_at":"2026-08-07T12:49:49.678284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.500168Z","title":"Devaney, Homoclinic orbits to hyperbolic equilib ria, Annals of New York Acad","venue":null,"work_id":"b9e91933-ad4a-4fce-8c2e-5beefb988d68","year":1978},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.024835Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:e75402fd2a42b6f5eee7b3990c6cdae2bd9c74ec03840256eb9ea745a6565b0c","observation_id":"57e82c1b-5a87-49c2-b3d8-9e40b1c8fd4b","resolution":{"observed_at":"2026-08-07T12:49:49.549210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.381234Z","title":"Devaney, Homoclinic orbits in Hamiltonian system s, J","venue":null,"work_id":"538a2d11-4259-446c-8db6-aa2735fe0ab9","year":1976},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.137945Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:3edc64b38fb24b1ed0d6dfbcf8145e97c4716bde947d3ee818c6bd7bd4664de7","observation_id":"a7c7fc3e-39f4-4938-abb1-f9672cad3a25","resolution":{"observed_at":"2026-08-07T12:49:49.425331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.264586Z","title":"Bifurcation Theory and Applications","venue":null,"work_id":"d07e810c-1b5c-4c30-88c8-d9bec9ec0c63","year":1983},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.213846Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:c9f653f6c58d87551cf0756b982dc6c38b101ba895b416df7e5295ed2b7b69cd","observation_id":"9d4e7b68-6619-4471-81a4-3cb738fe8341","resolution":{"observed_at":"2026-08-07T12:49:49.317319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.141902Z","title":"Eleonsky, V.G","venue":null,"work_id":"483379e3-8b38-4afc-a717-365f08227988","year":1991},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.303616Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:bd0f3d7f6c4e4f0da2af5a3b014b589e639212773940aa402ecd3032546ba2f7","observation_id":"cd4431ec-de44-4938-89d2-1d70d471efb3","resolution":{"observed_at":"2026-08-07T12:49:49.192016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:49.000234Z","title":"Galin, Versal deformations of linear Hamiltonian systems, American Mathematical Society Translations, Series 2, 1982, 12-31","venue":null,"work_id":"b1a9160d-20a8-41c9-842b-7bb0439e0775","year":1982},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.405728Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:6809c812b1490155de47638606c9cc3693f9e4cf16c3c6989556632fc7cbf7f3","observation_id":"5e62396d-e1bf-4a60-8afd-a51ffa9ed637","resolution":{"observed_at":"2026-08-07T12:49:49.065960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.862422Z","title":"Garnier R, Sur une classe de systemes diﬀerentiels ab eliens deduits de theorie des equations lineaires, Rend","venue":null,"work_id":"c6bfcd7f-85ca-45cc-be9a-0fe28882f71a","year":1919},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.510250Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:4d1072b69917d1902eea107891b332b1058edd0eaaff4e5921ed621784a32e46","observation_id":"66f6f5e6-578b-4953-9361-d2bcbb576566","resolution":{"observed_at":"2026-08-07T12:49:48.932262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.728924Z","title":"Gelfreich, D","venue":null,"work_id":"b9e06956-2801-4fd9-a2c5-fa41170a6194","year":2017},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.584913Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:3eab45cb3533e2fdf63b8bc62d2d702213e75901fb7375571e05f821d5913517","observation_id":"87ad7316-ae55-4275-85e1-508899c20096","resolution":{"observed_at":"2026-08-07T12:49:48.791680Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.584559Z","title":"Glebsky, L.M","venue":null,"work_id":"a94e0849-f84c-4d75-8f16-4f18dfa6152f","year":1995},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.692046Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:a0a0c665097661852627800fc5a03aeadac92ce796e136bdf3ff647f0dce1f97","observation_id":"b8d6ff1a-f08e-477e-b149-f54faeabbb28","resolution":{"observed_at":"2026-08-07T12:49:48.641202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/5.0068692","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:41.810678Z","title":"Gonchenko, S.V","venue":null,"work_id":"7ba71997-6451-44b4-bdd4-dfa3a4bc7346","year":2021},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.819539Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:266bef2f3b184aff52fb2c5d13c2ad49e7d945b1c6081aa34776b4f88985de4b","observation_id":"90a2cc25-e3cc-4c3c-8512-2803d6f99e0f","resolution":{"observed_at":"2026-08-07T12:49:41.889396Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.468342Z","title":"Grotta Ragazzo, Nonintegrability of some Hamiltoni an systems, scattering and an- alytic continuation, Comm","venue":null,"work_id":"6f18c66b-e7ec-4db7-8e2d-b9438fad853e","year":1994},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:37.928134Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:28f908d9b3f8a3a2767a59900937626a0ddb918aae20b53dcfeace3ea3b08227","observation_id":"6b846b1a-ef80-41a6-aa6b-c3d376580bac","resolution":{"observed_at":"2026-08-07T12:49:48.514452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.300621Z","title":"Grotta Ragazzo, Irregular Dynamics and Homoclinic O rbits to Hamiltonian Saddle Centers, Comm","venue":null,"work_id":"8aca9934-96a8-4938-ab35-9f43442de005","year":1997},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.040298Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:dc94af5c77a28fb1c2a28d689b38e04dcd4e9b24b471295e6d13df311e75187c","observation_id":"6e60de40-2ef0-4fe0-b079-34bb452b307a","resolution":{"observed_at":"2026-08-07T12:49:48.369503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.180610Z","title":"Han ßmann, I","venue":null,"work_id":"6d032ca4-cf6d-4813-8fb1-e799dc561b72","year":2019},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.124483Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:b465419c2aecf794f1e8f6ec09ed1c145c6e8cd026c4f2c20139bfd1e3c29e23","observation_id":"1408cc5b-7e42-416d-87fd-c0a864b6240d","resolution":{"observed_at":"2026-08-07T12:49:48.230577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:48.031986Z","title":"Han ßmann, Local and Semi-Local Bifurcations in Hamiltonian Dyn amical Systems- Results and Examples, LNM, vol","venue":null,"work_id":"1cba17ba-c1c0-4cef-a0f4-f8d095a284af","year":2007},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.227207Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:d11bc5a2e492e99bc891127be26bac00c97330817ba2b906ef6eb632f2cf3724","observation_id":"cfaaf262-95bc-4b1a-a0fe-033c5a8cc395","resolution":{"observed_at":"2026-08-07T12:49:48.092878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.872206Z","title":"Han βmann, J.-C","venue":null,"work_id":"8ea31315-ce05-4c18-a4a8-55a518cce9b9","year":2005},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.305347Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:576179753c2722cd85b57b360105437705d85fea9781631ffc50724a9745cd85","observation_id":"5d42d00b-d0e3-4d1b-b38b-93ef2938355b","resolution":{"observed_at":"2026-08-07T12:49:47.947922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s1874-575x(10)003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:41.638788Z","title":"Homburg, B","venue":null,"work_id":"18c922fb-1206-4fed-9c3d-e9e5368fbd37","year":2010},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.366224Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:761dfe4f69a6f959d3f4ecdb52958459a66c9609cf7332cfec737c3e22ecdedf","observation_id":"1fe833f7-0478-41ef-843d-73fa0c4de6e6","resolution":{"observed_at":"2026-08-07T12:49:41.715766Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.696062Z","title":"Hoveijn, Versal deformations and normal forms for re versible and hamiltonian linear systems, J","venue":null,"work_id":"c5dbc896-c1e2-4c73-b0c9-0728e7a60c06","year":1996},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.445669Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:d625b7d2968334a749ab392df4d2bc24fd81136130506a48530f6228c20b3487","observation_id":"cb35d7e0-7b75-4a9c-8d0c-fce06f69e9e3","resolution":{"observed_at":"2026-08-07T12:49:47.782641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.555283Z","title":"Jahnke, F","venue":null,"work_id":"0dcceb3f-7fbb-41f3-bda5-9dfe379a8d1e","year":1960},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.501128Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:dbeedc094444e6dac52aab8547b524159c3da25a01ea2f66b9fa87eb5f7df580","observation_id":"23d0c1f5-37d8-42c9-9bba-60cf43be86d3","resolution":{"observed_at":"2026-08-07T12:49:47.619891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.421657Z","title":"Khazin, E.E","venue":null,"work_id":"bc5286aa-1598-41af-8def-c9b3ca0ef8c2","year":1991},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.563600Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:883912d9e8292f904663735491ef0b1d019c975529f5882cbe638578b2e0a4ab","observation_id":"ecb84ce5-77d0-4b4e-9b96-5a92cbe242f8","resolution":{"observed_at":"2026-08-07T12:49:47.495376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.251367Z","title":"Burke, E","venue":null,"work_id":"07674b22-36b7-4525-9453-fec1a880fd4f","year":2007},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.666884Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:86e6a7a4ce2cf6e1b8f2708dad3e822fc4116e78f85bb326a6ac6935c8656822","observation_id":"a969ef61-acd8-463d-b24a-00341f469782","resolution":{"observed_at":"2026-08-07T12:49:47.321483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:47.105430Z","title":"Kocak, Normal Forms and Versa1 Deformations of Linea r Hamiltonian Systems, J","venue":null,"work_id":"91e723d1-03b5-4a7f-a00e-3648e76ed426","year":1984},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.762229Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:67fc8a4c67cd2710612a8bd8f611cd6881585c972f2f3a9c9145b5c8d03b8412","observation_id":"3c4d302c-8c3c-428e-9210-5addb7d250ea","resolution":{"observed_at":"2026-08-07T12:49:47.167256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.951352Z","title":"Yu., Lerman L","venue":null,"work_id":"0e932eaa-f203-4085-b995-d077b70596f1","year":1995},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.839274Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:8889fafa965eabc4d7ed4142f8fadd0cf8bb2decdb3589b4d3495b61e836628a","observation_id":"a6c32b58-4280-4411-ad8e-ac1572d98fb4","resolution":{"observed_at":"2026-08-07T12:49:47.008487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.747086Z","title":"Families of transverse Poincar´ e homoclinic orbits in 2N- dimensional Hamiltonian systems close to the system with a l oop to a saddle-center, Int","venue":null,"work_id":"3a31a386-3dd4-4f4f-b7e3-025936b94d52","year":1996},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.931729Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:7262df31ee3b5e59ced0a1dbb31b1105e472bf9bccf9ae9654468a3dfb7fa262","observation_id":"38294b05-f795-444c-93a0-ce9d43a8a184","resolution":{"observed_at":"2026-08-07T12:49:46.848834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.591347Z","title":"Kudryavtseva, L.M","venue":null,"work_id":"a57f5e85-9d56-4e8b-93f3-5d9ccf090654","year":2024},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:38.995070Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:5b7a2f5aa0f86fc8bdb1912045148df24beab6a4f600f45ba28eff7bc1f997a0","observation_id":"26998186-21e6-45b2-ac3e-20089fb4fb6f","resolution":{"observed_at":"2026-08-07T12:49:46.672175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.395497Z","title":"Kulagin, L.M","venue":null,"work_id":"d058780f-67f4-4fe3-a88b-83f09d6c58f0","year":2008},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.083378Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:ecd5e26c59c3721ae64c0967aa21c937a85a5000f014dd410e235e5ea78be383","observation_id":"e4d4f190-8d95-47a2-ba92-a8fd5300cff7","resolution":{"observed_at":"2026-08-07T12:49:46.493352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.221144Z","title":"Kulagin, L.M","venue":null,"work_id":"7b562a24-5ff4-40cc-8d0d-cba582f1c6f2","year":2023},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.171792Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:2d3be550b6c79edef472ee5bfecb714d6dd4019fdc51291f5ec0b64549ddd368","observation_id":"0aa7c040-db7c-471f-b584-96962afb4002","resolution":{"observed_at":"2026-08-07T12:49:46.289614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:46.072242Z","title":"Lakshmanan, R","venue":null,"work_id":"91b8b538-0639-4164-8948-5f811ca9900f","year":null},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.249015Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:6a075069f93414e34db728c63302abe523607d2b62f119fe40f2d2ed0b5bf8f1","observation_id":"4da625a4-2d22-4dfd-80d9-78dba783e2d2","resolution":{"observed_at":"2026-08-07T12:49:46.137772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:45.880776Z","title":"Lakshmanan, R","venue":null,"work_id":"a03f2dce-35fe-498d-b140-eeb0f0469918","year":1993},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.358961Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:493cc929e9fc2eac2dee76cee64b69e62f90220c6e56da813a9a1ce37724adb1","observation_id":"8fd20dde-96fd-46ee-9027-75a5fb22d5ce","resolution":{"observed_at":"2026-08-07T12:49:45.975865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:45.737120Z","title":null,"venue":null,"work_id":"7b236594-42e7-4837-bba5-6d9831099a2e","year":1974},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.481791Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:5315166fe2fd44717353814e2f9b9fa3512184c37811b426930447714c469aa9","observation_id":"1a0603a3-8bd1-4b5f-8ac5-352db010aa57","resolution":{"observed_at":"2026-08-07T12:49:45.802417Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:45.565420Z","title":"Meth- ods of Qualitative Theory of Diﬀ. Equat","venue":null,"work_id":"04200534-8b9f-4ff4-b10b-6723e0ae1289","year":1987},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.607315Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:e9deb53a8322b8bf91064284b50a8c780e55344ee31edd44f2d05a944876ca32","observation_id":"a038ed43-a325-414f-9899-3c009b536e7b","resolution":{"observed_at":"2026-08-07T12:49:45.648573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:45.403118Z","title":"Complex dynamics and bifurcations in Hami ltonian systems having the transversal homoclinic orbit to a saddle-focus, Chaos: Int erdisc","venue":null,"work_id":"34762103-147d-4d78-988d-f901e5262c34","year":1991},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.708351Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:efbbc1583537e27b856333394a63d89a9fd2a9ba8df7bb25f38f81545e4b1bfb","observation_id":"605cae4b-3fbc-40f4-8660-4248da892568","resolution":{"observed_at":"2026-08-07T12:49:45.483116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:45.192021Z","title":"Lerman, Dynamical phenomena near a saddle-focus c onnection in a Hamiltonian system, J","venue":null,"work_id":"12cc7a61-54cf-432f-a0f3-da09e3135a29","year":2000},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.785143Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:db264c20520ec1b9383b02b403601677aa79056c28daea35d6a2d52810819fde","observation_id":"f83240db-cba6-4675-bae9-dcd3889e258e","resolution":{"observed_at":"2026-08-07T12:49:45.292034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.976867Z","title":"Lerman, Ya.L","venue":null,"work_id":"71f864a0-d156-420f-ad08-9d80e8c4dc28","year":1994},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.877036Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:8bf6db723edaf062087f96edc72b58f8902d3cde99e668b85c198295fe055838","observation_id":"a6aab228-23e6-45dc-b851-7e5d6d4ec531","resolution":{"observed_at":"2026-08-07T12:49:45.030911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.853594Z","title":"Marsden, A","venue":null,"work_id":"1e719d7c-3c84-463e-8c7a-20b55bc135b6","year":1974},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:39.956960Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:c0a74fea16da315161b0ca9694d9485510455b8c61c35e42f8d69e9e2f9dce45","observation_id":"66e81c17-8b21-450c-a2c5-955cabffd545","resolution":{"observed_at":"2026-08-07T12:49:44.906403Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.678475Z","title":"van der Meer","venue":null,"work_id":"2c772fca-e8d6-4003-a008-2af86f3fa0b5","year":1985},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.043944Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:a2402277a1fee60650359c87b0bae80745aef8366d946146f112ce3f76aba765","observation_id":"6518dcb8-8dec-41ff-9815-da4d70b96077","resolution":{"observed_at":"2026-08-07T12:49:44.776140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.512075Z","title":"Meyer, D","venue":null,"work_id":"9ed66ca0-eb07-4d75-9e55-18f5a704d61f","year":1971},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.140704Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:274581167ee3f26845fd0a875520ec8b6cfe8b74a49e77b4b1501e32db3a4f1b","observation_id":"cb630a2f-61c0-44a9-acd3-d0d570e6f1fb","resolution":{"observed_at":"2026-08-07T12:49:44.595158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.282687Z","title":"Mielke, P","venue":null,"work_id":"280c63c7-18eb-4e49-82c4-abcc4f6445e1","year":1992},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.234754Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:c645c137b49d10a9f7735f1357f70dcb28c9bfe9ae92dc17f9d77e4fbd7e9a51","observation_id":"9f12bbf5-695a-4054-9e78-31904a0faacd","resolution":{"observed_at":"2026-08-07T12:49:44.396454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:44.095015Z","title":"Morales-Ruiz, C","venue":null,"work_id":"7a57ad09-2ed6-43d1-bf1b-7835e3bd23ef","year":1996},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.314609Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:def910fa9e05c898e31d1f0d71db202f9d70ebda51cadb14f6ce2602ae05b7b1","observation_id":"71cfb626-7244-4cc0-95c2-e214b7f4f7f9","resolution":{"observed_at":"2026-08-07T12:49:44.175257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.916748Z","title":"Morales-Ruiz","venue":null,"work_id":"7c1a15c5-3d10-41e2-9f84-22b4bbf659e3","year":1999},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.392240Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:688ae4e469b0c5410728e5ee48b0431c3e06ec25e6e0bcafa2d9a5c70f914fa4","observation_id":"efffae12-c261-4bcf-811b-96097ede1976","resolution":{"observed_at":"2026-08-07T12:49:44.000234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.715433Z","title":"Morales-Ruiz, J.M","venue":null,"work_id":"802feca1-2302-47d4-b393-5277ec27962f","year":1999},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.482715Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:11c25a7c69cc555537ae3b65e9042aaa5fbf899967a238834d6fd0280c0b65ec","observation_id":"18b49dc3-36d0-4b82-8ce1-3323c3a4daea","resolution":{"observed_at":"2026-08-07T12:49:43.808471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.522938Z","title":null,"venue":null,"work_id":"76ef15c9-5233-44a6-9752-8a68301d30e4","year":1998},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.583155Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:e50408ff3a09bc816908a789c76f89ec7bf0d65ad0f9f5fa1b53646a56854007","observation_id":"5914c324-b3d3-4417-a657-c30b62f1c74b","resolution":{"observed_at":"2026-08-07T12:49:43.590929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.368985Z","title":"Perelomov","venue":null,"work_id":"cd8461d5-19c2-41ab-bd30-f56e8d2b002b","year":1990},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.681389Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:6152dbd18baffb119ae4e7ce18674166e2c523f7ade0b006725a1876ab3ce4ef","observation_id":"5a62145e-479e-419a-b0c8-231eace9734b","resolution":{"observed_at":"2026-08-07T12:49:43.420370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.174967Z","title":"Shilnikov, D.V","venue":null,"work_id":"9ccdcb9a-3c64-4a3f-a220-dcc006da3717","year":1997},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.767820Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:710b57895e65bc7279714eeec14408f7ed3e1cae9a2fbbae1af5ef0969d79e73","observation_id":"2e4cdb91-8264-43b4-b34e-0b1eb5c56190","resolution":{"observed_at":"2026-08-07T12:49:43.274005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:43.006864Z","title":"Sanders, Are higher order resonances really interes ting?, Celestial Mech","venue":null,"work_id":"e72851ca-e9fd-453a-b30c-6a6b5ac28818","year":1978},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.863398Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:2d69badb7fd7c0fe75ca581648c2a1af413799d4404763e25d4fb8029ccc1982","observation_id":"babf8f94-8fcb-443f-9847-5595904ea841","resolution":{"observed_at":"2026-08-07T12:49:43.065649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:42.785279Z","title":"Smale, Topology and Mechanics","venue":null,"work_id":"6a6e77b6-fdaa-41c8-a730-9416ec76f311","year":1970},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:40.971698Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:750468e26c8111b81481113c8143e4b2d0b982844c95f186432a394f47c2784e","observation_id":"af8924b9-825e-4510-b1b8-739969e9969d","resolution":{"observed_at":"2026-08-07T12:49:42.873569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:42.632393Z","title":"Sokol’sky, On the stability of an autonomous Hamil tonian system with two degrees of freedom in the case of equal frequencies, J","venue":null,"work_id":"f7311ddc-35cc-489d-a1a1-0d7e41c60ea5","year":1974},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:41.091220Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:43c5fd3c6ed4ed37890265d2857a964d7e93ddf63b208d2bcafd2de43368c328","observation_id":"2683d023-bb7a-4d75-9148-4157a7a80490","resolution":{"observed_at":"2026-08-07T12:49:42.710932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:42.480788Z","title":"Yanderbauwhede, B","venue":null,"work_id":"342a0a58-545d-4c94-a39c-c16b7a1822f4","year":1992},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:41.208983Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:57bc655e1cd2daaf7dad836336b4aad35b7bc99dd7b4fc73b1e3ab4c07b20b1c","observation_id":"c1ad63ea-a8b1-4d8b-adea-03dd409708c6","resolution":{"observed_at":"2026-08-07T12:49:42.552756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:42.293020Z","title":"Yagasaki, Horseshoes in Two-Degree-of-Freedom Ham iltonian Systems with Saddle- Centers, Arch","venue":null,"work_id":"63ef8101-8b29-4a65-81ad-0a5894153f13","year":2000},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:41.325676Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:cd6394f4e31b14c14da4b43b10c233d44cf6436fc47097defca209f8b4466f9b","observation_id":"19007d58-c0cd-4939-8999-cee7077f0a28","resolution":{"observed_at":"2026-08-07T12:49:42.377002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:42.173691Z","title":"Yoshida, A criterion for the non existence of an addit ional integral in Hamiltonian systems with a homogeneous potential, Physica D 29 (1987), 1 28–142","venue":null,"work_id":"23d2836a-079c-411e-8bd4-402a83c70c5a","year":1987},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:41.437728Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:7cfff42d5e84409a7e2bef3828557ba378824f955356a0a4387df23a748648ec","observation_id":"ad63dccf-188c-4ec4-99a8-31f5a3e5e0c0","resolution":{"observed_at":"2026-08-07T12:49:42.222731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:49:41.979478Z","title":"Ziglin, Branching of solutions and nonexistence o f ﬁrst integrals in Hamiltonian mechanics","venue":null,"work_id":"62022fad-69a5-4f7b-993f-534d9fa90cc0","year":1982},"citing_paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:41.509144Z"},"links":{"citing_paper":"/paper/2505.23991"},"observation_digest":"sha256:4692ef454310fc05e05d8d7625a603a65330e235f49ebafea2da580a7016d49d","observation_id":"93188519-3a0b-4010-87fb-2073e0223d30","resolution":{"observed_at":"2026-08-07T12:49:42.072363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.23991","last_updated":"2025-05-29T20:33:52Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-07T12:35:39.210087Z","submitted_at":"2025-05-29T20:33:52Z","title":"Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":2,"verified_fuzzy":54},"total_outbound_references":60},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2505.23991."}