{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MN3UO7O4XLE6LHDRHVF2EBMB52","short_pith_number":"pith:MN3UO7O4","schema_version":"1.0","canonical_sha256":"6377477ddcbac9e59c713d4ba20581ee93e1278cfb0a71de1c75905d67ad8fdc","source":{"kind":"arxiv","id":"1608.04884","version":2},"attestation_state":"computed","paper":{"title":"Non-invasive stabilization of periodic orbits in $O_4$-symmetrically coupled Van der Pol oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Dmitrii Rachinskii, Edward Hooton, Wieslaw Krawcewicz, Zalman Balanov","submitted_at":"2016-08-17T07:50:58Z","abstract_excerpt":"Pyragas time delayed feedback control has proven itself as an effective tool to non-invasively stabilize periodic solutions. In a number of publications, this method was adapted to equivariant settings and applied to stabilize branches of small periodic solutions in systems of symmetrically coupled Landau oscillators near a Hopf bifurcation point. The form of the control ensures the non-invasiveness property, hence reducing the problem to finding a set of the gain matrices, which would guarantee the stabilization. In this paper, we apply this method to a system of Van der Pol oscillators coupl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1608.04884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-17T07:50:58Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"36c2fe194cf15eec6933c0eabd0dd86c9102e710384562268299956d6daf4b66","abstract_canon_sha256":"274147c52d5406f9e86e4a6d5d66cf53448d2186faebce31bd63c75d592b7244"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:28.421044Z","signature_b64":"RbIn4KqbNXGwUMLt44DS10apkuP6lFqlRiYpkhQh8ombtCEFYHL1d4rs9cZgsIDP7ZBE69PyFmYA/F579wCmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6377477ddcbac9e59c713d4ba20581ee93e1278cfb0a71de1c75905d67ad8fdc","last_reissued_at":"2026-05-18T01:08:28.420608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:28.420608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-invasive stabilization of periodic orbits in $O_4$-symmetrically coupled Van der Pol oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Dmitrii Rachinskii, Edward Hooton, Wieslaw Krawcewicz, Zalman Balanov","submitted_at":"2016-08-17T07:50:58Z","abstract_excerpt":"Pyragas time delayed feedback control has proven itself as an effective tool to non-invasively stabilize periodic solutions. In a number of publications, this method was adapted to equivariant settings and applied to stabilize branches of small periodic solutions in systems of symmetrically coupled Landau oscillators near a Hopf bifurcation point. The form of the control ensures the non-invasiveness property, hence reducing the problem to finding a set of the gain matrices, which would guarantee the stabilization. In this paper, we apply this method to a system of Van der Pol oscillators coupl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04884","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.04884","created_at":"2026-05-18T01:08:28.420672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.04884v2","created_at":"2026-05-18T01:08:28.420672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04884","created_at":"2026-05-18T01:08:28.420672+00:00"},{"alias_kind":"pith_short_12","alias_value":"MN3UO7O4XLE6","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MN3UO7O4XLE6LHDR","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MN3UO7O4","created_at":"2026-05-18T12:30:32.724797+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52","json":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52.json","graph_json":"https://pith.science/api/pith-number/MN3UO7O4XLE6LHDRHVF2EBMB52/graph.json","events_json":"https://pith.science/api/pith-number/MN3UO7O4XLE6LHDRHVF2EBMB52/events.json","paper":"https://pith.science/paper/MN3UO7O4"},"agent_actions":{"view_html":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52","download_json":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52.json","view_paper":"https://pith.science/paper/MN3UO7O4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.04884&json=true","fetch_graph":"https://pith.science/api/pith-number/MN3UO7O4XLE6LHDRHVF2EBMB52/graph.json","fetch_events":"https://pith.science/api/pith-number/MN3UO7O4XLE6LHDRHVF2EBMB52/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52/action/storage_attestation","attest_author":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52/action/author_attestation","sign_citation":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52/action/citation_signature","submit_replication":"https://pith.science/pith/MN3UO7O4XLE6LHDRHVF2EBMB52/action/replication_record"}},"created_at":"2026-05-18T01:08:28.420672+00:00","updated_at":"2026-05-18T01:08:28.420672+00:00"}