{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:B42BLYJAPCOO3UOA7KOZPJKCUW","short_pith_number":"pith:B42BLYJA","schema_version":"1.0","canonical_sha256":"0f3415e120789cedd1c0fa9d97a542a5bca0bfee3f826bdbc2f09e3e5d757f1c","source":{"kind":"arxiv","id":"2205.08091","version":2},"attestation_state":"computed","paper":{"title":"Subharmonic entrainment and limit cycle modulation by high frequency excitation: A Renormalization group approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","physics.app-ph"],"primary_cat":"nlin.CD","authors_text":"Debapriya Das, Dhruba Banerjee, Somnath Roy","submitted_at":"2022-05-17T05:00:31Z","abstract_excerpt":"In this article, we explore the possibility of a sub-harmonic $(1{:}2)$ entrainment and supercritical Hopf bifurcation in a van der Pol-Duffing oscillator that has been excited by two frequencies, comprising a slow parametric drive and a fast external forcing, through the variation of the amplitude of the external fast signal. We also deduce the condition for the threshold parametric strength required to generate sub-harmonic oscillation. The Blekhman perturbation (direct partition of motion) and the Renormalization group technique have been employed to study how the signal amplitude plays a p"},"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":"2205.08091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2022-05-17T05:00:31Z","cross_cats_sorted":["math.DS","physics.app-ph"],"title_canon_sha256":"3b09b91cf1f2a48c10cc314c444ce79a52b4a58f9825163f6d17ff759d9aee20","abstract_canon_sha256":"5ea6ee41c25453641e4d7149aad32701ebb8ac79bf8c51ece418c6f816fd1377"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:46.485548Z","signature_b64":"9V+4Iy7OnmVM37JIFPhAEGLDVcBXHZBCK1E29SrAxIZOLEYXNGKvDBP4C3FLDzteowyi7PvGkU+zm1gPnes3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f3415e120789cedd1c0fa9d97a542a5bca0bfee3f826bdbc2f09e3e5d757f1c","last_reissued_at":"2026-07-05T11:40:46.483278Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:46.483278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subharmonic entrainment and limit cycle modulation by high frequency excitation: A Renormalization group approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","physics.app-ph"],"primary_cat":"nlin.CD","authors_text":"Debapriya Das, Dhruba Banerjee, Somnath Roy","submitted_at":"2022-05-17T05:00:31Z","abstract_excerpt":"In this article, we explore the possibility of a sub-harmonic $(1{:}2)$ entrainment and supercritical Hopf bifurcation in a van der Pol-Duffing oscillator that has been excited by two frequencies, comprising a slow parametric drive and a fast external forcing, through the variation of the amplitude of the external fast signal. We also deduce the condition for the threshold parametric strength required to generate sub-harmonic oscillation. The Blekhman perturbation (direct partition of motion) and the Renormalization group technique have been employed to study how the signal amplitude plays a p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08091","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08091/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2205.08091","created_at":"2026-07-05T11:40:46.484963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.08091v2","created_at":"2026-07-05T11:40:46.484963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08091","created_at":"2026-07-05T11:40:46.484963+00:00"},{"alias_kind":"pith_short_12","alias_value":"B42BLYJAPCOO","created_at":"2026-07-05T11:40:46.484963+00:00"},{"alias_kind":"pith_short_16","alias_value":"B42BLYJAPCOO3UOA","created_at":"2026-07-05T11:40:46.484963+00:00"},{"alias_kind":"pith_short_8","alias_value":"B42BLYJA","created_at":"2026-07-05T11:40:46.484963+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.01373","citing_title":"Controlling the effect of quantum fluctuations in a driven nonlinear parametric oscillator","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW","json":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW.json","graph_json":"https://pith.science/api/pith-number/B42BLYJAPCOO3UOA7KOZPJKCUW/graph.json","events_json":"https://pith.science/api/pith-number/B42BLYJAPCOO3UOA7KOZPJKCUW/events.json","paper":"https://pith.science/paper/B42BLYJA"},"agent_actions":{"view_html":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW","download_json":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW.json","view_paper":"https://pith.science/paper/B42BLYJA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.08091&json=true","fetch_graph":"https://pith.science/api/pith-number/B42BLYJAPCOO3UOA7KOZPJKCUW/graph.json","fetch_events":"https://pith.science/api/pith-number/B42BLYJAPCOO3UOA7KOZPJKCUW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW/action/storage_attestation","attest_author":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW/action/author_attestation","sign_citation":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW/action/citation_signature","submit_replication":"https://pith.science/pith/B42BLYJAPCOO3UOA7KOZPJKCUW/action/replication_record"}},"created_at":"2026-07-05T11:40:46.484963+00:00","updated_at":"2026-07-05T11:40:46.484963+00:00"}