{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YOWQDAKVBG7IYXX4OQHHJGLNLC","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":"addaa911cb3e417082e962cb8057952a0e768848d5459739cbdd0e913586b6c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-07-16T20:29:46Z","title_canon_sha256":"f27cc492f32ea8feea0c3c50312e3273be1a818fa4b4424e999b4fdec5eea929"},"schema_version":"1.0","source":{"id":"1707.05676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05676","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05676v1","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05676","created_at":"2026-05-18T00:35:19Z"},{"alias_kind":"pith_short_12","alias_value":"YOWQDAKVBG7I","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YOWQDAKVBG7IYXX4","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YOWQDAKV","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:2f9910608fe7c374ae1f4d5392a1d1dca52585bde4e213103ea7499f65ffa53d","target":"graph","created_at":"2026-05-18T00:35:19Z","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":"The model of a memristor-based oscillator with cubic nonlinearity is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria in the phase space. Numerical modeling of the dynamics is combined with bifurcational analysis. It is shown that oscillation excitation has distinctive features of the supercritical Andronov--Hopf bifurcation and can be achieved by changing of a parameter value as well as by variation of initial conditions. Therefore the considered bifurcation is called Andronov-Hopf bifurcation with and without parameter.","authors_text":"Ivan A. Korneev, Vladimir V. Semenov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-07-16T20:29:46Z","title":"Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05676","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":"sha256:2660a099b867bd8a61e506b44fb3161f89a057978ddc688c5f79223d17a10988","target":"record","created_at":"2026-05-18T00:35:19Z","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":"addaa911cb3e417082e962cb8057952a0e768848d5459739cbdd0e913586b6c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-07-16T20:29:46Z","title_canon_sha256":"f27cc492f32ea8feea0c3c50312e3273be1a818fa4b4424e999b4fdec5eea929"},"schema_version":"1.0","source":{"id":"1707.05676","kind":"arxiv","version":1}},"canonical_sha256":"c3ad01815509be8c5efc740e74996d588cc3709c8d0c91f8d30cc563a233fe6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3ad01815509be8c5efc740e74996d588cc3709c8d0c91f8d30cc563a233fe6d","first_computed_at":"2026-05-18T00:35:19.452183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:19.452183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HDqhyGcZ55gvPtHoTPQjDloPbmU8jM4F2ezBn4K2L3gud0riDnOlQRFQRE3TRZzcSl3872koxg/l0ZVASVt+AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:19.452600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2660a099b867bd8a61e506b44fb3161f89a057978ddc688c5f79223d17a10988","sha256:2f9910608fe7c374ae1f4d5392a1d1dca52585bde4e213103ea7499f65ffa53d"],"state_sha256":"0f5a823c82141275ee2728eec500d54d51fd36ac9dc1c03d5283eef794a72c02"}