{"paper":{"title":"Le canard de Painlev\\'e","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"K. Uldall Kristiansen, S. J. Hogan","submitted_at":"2017-03-22T14:13:41Z","abstract_excerpt":"We consider the problem of a slender rod slipping along a rough surface. Painlev\\'e \\cite{Painleve1895, Painleve1905a,Painleve1905b} showed that the governing rigid body equations for this problem can exhibit multiple solutions (the {\\it indeterminate} case) or no solutions at all (the {\\it inconsistent} case), provided the coefficient of friction $\\mu$ exceeds a certain critical value $\\mu_P$. Subsequently G\\'enot and Brogliato \\cite{GenotBrogliato1999} proved that, from a consistent state, the rod cannot reach an inconsistent state through slipping. Instead there is a special solution for $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07665","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}