Invariant manifolds near hyperbolic fixed points
نویسنده
چکیده
In these notes we discuss obstructions to the existence of local invariant manifolds in some smoothness class, near hyperbolic fixed points of diffeomorphisms. We present an elementary construction for continuously differentiable invariant manifolds, that are not necessarily normally hyperbolic, near attracting fixed points. The analogous theory for invariant manifolds near hyperbolic equilbria of differential equations is included. For differential equations we include a construction of one dimensional invariant manifolds in a higher smoothness classes.
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تاریخ انتشار 2006