{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EVJ2Y7NFZI3SG56HVIVEQAMAUB","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":"d738de2c4cee9db70e348fdf833b1676846bf00c386fb3bf001631a3eb206748","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-11T15:50:38Z","title_canon_sha256":"e99432308a0bbe6adb8b85e5d851fd465e4fe198383256bd42094f08ba4e501e"},"schema_version":"1.0","source":{"id":"1105.2226","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2226","created_at":"2026-05-18T02:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2226v2","created_at":"2026-05-18T02:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2226","created_at":"2026-05-18T02:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"EVJ2Y7NFZI3S","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EVJ2Y7NFZI3SG56H","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EVJ2Y7NF","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:8212624f71882d153ded5ec653910dbb436061a5b687aaf3a8b9bbda5e7258ce","target":"graph","created_at":"2026-05-18T02:46:21Z","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":"We consider application of the multiple time delayed feedback for control of anharmonic (nonlinear) oscillators subject to noise. In contrast to the case of a single delay feedback, the multiple one exhibits resonances between feedback and nonlinear harmonics, leading to a resonantly strong or weak oscillation coherence even for a small anharmonicity. Analytical results are confirmed numerically for van der Pol and van der Pol-Duffing oscillators.\n  Highlights: > We construct general theory of noisy limit-cycle oscillators with linear feedback. > We focus on coherence and \"reliability\" of osci","authors_text":"Denis S. Goldobin","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-11T15:50:38Z","title":"Anharmonic resonances with recursive delay feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2226","kind":"arxiv","version":2},"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":"sha256:0c22a65f902b04981be87d7aac2d4f7a3d0ea7213a47b8a57bd5061317537997","target":"record","created_at":"2026-05-18T02:46:21Z","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":"d738de2c4cee9db70e348fdf833b1676846bf00c386fb3bf001631a3eb206748","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-11T15:50:38Z","title_canon_sha256":"e99432308a0bbe6adb8b85e5d851fd465e4fe198383256bd42094f08ba4e501e"},"schema_version":"1.0","source":{"id":"1105.2226","kind":"arxiv","version":2}},"canonical_sha256":"2553ac7da5ca372377c7aa2a480180a0608c8f9599079f3947db714389eb49d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2553ac7da5ca372377c7aa2a480180a0608c8f9599079f3947db714389eb49d2","first_computed_at":"2026-05-18T02:46:21.933594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:21.933594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xFPJt0oV8gItekYXGQWqJy5pSogDDjE0yGNtPBvU+wSJ927PU5QQbdUS0+L8qc8F8VYsy9+fv4JSGuJQalT+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:21.934056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2226","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c22a65f902b04981be87d7aac2d4f7a3d0ea7213a47b8a57bd5061317537997","sha256:8212624f71882d153ded5ec653910dbb436061a5b687aaf3a8b9bbda5e7258ce"],"state_sha256":"df6c3afb4ef69bce0998502e0e1409d2a44cc360522963790b25706d808b9194"}