A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces

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dc.creatorHolland, Mark
dc.creatorLuzzatto, Stefano
dc.date2003-01-21
dc.date.accessioned2026-07-07T04:54:35Z
dc.date.available2026-07-07T04:54:35Z
dc.descriptionWe introduce a new technique for proving the classical Stable Manifold theorem for hyperbolic fixed points. This method is much more geometrical than the standard approaches which rely on abstract fixed point theorems. It is based on the convergence of a canonical sequence of ``finite time local stable manifolds'' which are related to the dynamics of a finite number of iterations.
dc.description1 Figure
dc.identifierhttps://arxiv.org/abs/math/0301235
dc.identifierhttp://arxiv.org/abs/math/0301235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66314
dc.subjectDynamical Systems
dc.subjectGeneral Topology
dc.subject37D10
dc.titleA new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces
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