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We have performed simulations with \\textit{stress-free} top and bottom boundaries for several values of Taylor number ($5 \\leq Ta \\leq 50$) near the instability onset. We observe a single homoclinic ungluing bifurcation, marked by the spontaneous breaking of a larger limit cycle into two limit cycles with the variation of the reduced Rayleigh number $r$ for smaller value"},"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":"1402.4332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-02-18T13:50:12Z","cross_cats_sorted":[],"title_canon_sha256":"b1e5199ea130980fb583da29a305d23b3753ca584bfb9109b3b9b052d4e6f232","abstract_canon_sha256":"4eab54a19b77c2cbf7e024e92673532a50ef2894e146869411bc939ce8cd6b8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:44.186791Z","signature_b64":"mtsucfYm51Cg+FKYos3H++LgKa5uIpCbfU017EqI6IDxTM+XJmQT9bVDBIIGyLH6KtFeE2ncsqBKwnzf6l5cDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"612503f1b92c45556e94de7d27ab09bfe15e7b3c43a86c535709b5a0dc57b4c9","last_reissued_at":"2026-05-18T02:58:44.185950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:44.185950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homoclinic bifurcations in low-Prandtl-number Rayleigh-B\\'{e}nard convection with uniform rotation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"K. 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