Dynamics of surface homeomorphisms Topological versions of the Leau-Fatou flower theorem and the stable manifold theorem

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dc.creatorRoux, Frederic Le
dc.date2002-10-22
dc.date.accessioned2026-07-07T04:52:14Z
dc.date.available2026-07-07T04:52:14Z
dc.descriptionThe study of the dynamics of a surface homeomorphism in the neighbourhood of an isolated fixed point leads us to the following results. If the fixed point index is greater than 1, a family of attractive and repulsive petals is constructed, generalizing the Leau-Fatou flower theorem in complex dynamics. If the index is less than 1, we get a family of stable and unstable branches, generalizing the stable manifold theorem in hyperbolic dynamics.
dc.descriptionIn French. 82 pages, 65 figures
dc.identifierhttps://arxiv.org/abs/math/0210344
dc.identifierhttp://arxiv.org/abs/math/0210344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65392
dc.subjectDynamical Systems
dc.subject37E30; 37C25
dc.titleDynamics of surface homeomorphisms Topological versions of the Leau-Fatou flower theorem and the stable manifold theorem
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