A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces
Dynamical Systems
2007-05-23 v1 General Topology
Abstract
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.
Cite
@article{arxiv.math/0301235,
title = {A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces},
author = {Mark Holland and Stefano Luzzatto},
journal= {arXiv preprint arXiv:math/0301235},
year = {2007}
}
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