- 04-279 X. Cabre, E. Fontich, R. de la Llave
- The parameterization method for invariant manifolds: III overview and
Sep 9, 04
(auto. generated pdf),
of related papers
Abstract. We describe a method to establish existence and regularity of
invariant manifolds and, at the same time
to find simple maps which are conjugated to the dynamics on them.
The method establishes several invariant manifold theorems.
For instance, it reduces the proof of the usual stable manifold theorem near
hyperbolic points to an application of the implicit function theorem in
Banach spaces. We also present several other applications of the method.