Periodic orbits and homoclinic loops for surface homeomorphisms

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dc.creatorHirsch, Morris W.
dc.date2005-12-11
dc.date.accessioned2026-07-07T06:55:03Z
dc.date.available2026-07-07T06:55:03Z
dc.descriptionLet p be a saddle fixed point for an orientation-preserving surface diffeomorphism f admitting a homoclinic point q. Let V be an open 2-cell bounded by a simple loop formed by two arcs joining p to q lying respectively in the stable and unstable curves at p. It is shown that f|V has fixed point index 1 or 2 depending only on the geometry of V near p.
dc.descriptionSlight correction of published version. 13 pages
dc.identifierhttps://arxiv.org/abs/math/0512223
dc.identifierhttp://arxiv.org/abs/math/0512223
dc.identifierMichigan Mathematics Journal 47 (2000) 395-406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106160
dc.subjectDynamical Systems
dc.subject37E30
dc.titlePeriodic orbits and homoclinic loops for surface homeomorphisms
dc.typetext

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