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

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We 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.
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Dynamical Systems, General Topology, 37D10

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http://salesiana.dossiersoluciones.com/handle/123456789/66314

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301235
 http://arxiv.org/abs/math/0301235

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arXiv