{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3BFTQDV662ZWKPVF5GAEADGXL5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e9fd4883a14a5cd387be1bc925d7148f487c731ebed42577ccd391c630e035d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-05-18T17:29:56Z","title_canon_sha256":"4b27d29d47a695b0a22b8b76f249bd0d5287e5fd65439c265ea76ecdd6f1954b"},"schema_version":"1.0","source":{"id":"1505.04729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04729","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04729v1","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04729","created_at":"2026-05-18T01:36:43Z"},{"alias_kind":"pith_short_12","alias_value":"3BFTQDV662ZW","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3BFTQDV662ZWKPVF","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3BFTQDV6","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:2b96a12ab7a572747dd299ff1f24ecfeacd49fee8eb3f9c549c8784644998682","target":"graph","created_at":"2026-05-18T01:36:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this tutorial, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known Glukhovsky--Dolghansky and Rabinovich systems, to demonstrate the analysis of self-excited and hidden attractors and their characteristics. We applied the fishing principle to demonstrate the existence of a homoclinic orbit, proved the dissipativity and completeness of the system, and found absorbing and positively invariant sets. We have shown that this system has a self-excited attractor and a hidden attractor for","authors_text":"G.A. Leonov, N.V. Kuznetsov, T.N. Mokaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-05-18T17:29:56Z","title":"Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04729","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d45921036a41b6e644ef146f9caa2fb5ec37c8cbcebfa10361a5de62a7adb385","target":"record","created_at":"2026-05-18T01:36:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9fd4883a14a5cd387be1bc925d7148f487c731ebed42577ccd391c630e035d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-05-18T17:29:56Z","title_canon_sha256":"4b27d29d47a695b0a22b8b76f249bd0d5287e5fd65439c265ea76ecdd6f1954b"},"schema_version":"1.0","source":{"id":"1505.04729","kind":"arxiv","version":1}},"canonical_sha256":"d84b380ebef6b3653ea5e980400cd75f500c9add78a5536114bbb35a8ea15bc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d84b380ebef6b3653ea5e980400cd75f500c9add78a5536114bbb35a8ea15bc6","first_computed_at":"2026-05-18T01:36:43.127050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:43.127050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LMtpVItE+KFvYINiXyyF9v2qwI9wqGmBEfuHrmGe8UmJKPrpRWbAYtPttlPGqMIcCmp5fUFPhVMmyz20rgOSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:43.127648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d45921036a41b6e644ef146f9caa2fb5ec37c8cbcebfa10361a5de62a7adb385","sha256:2b96a12ab7a572747dd299ff1f24ecfeacd49fee8eb3f9c549c8784644998682"],"state_sha256":"cd4f924fa0a974dae2b7224b7f1ba509d5f01dbfe8533fed4e88a5db5d1a03cd"}