Center Manifolds Optimal Regularity for Nonuniformly Hyperbolic Dynamics

Autores

  • Luis Barreira
  • Claudia Valls

DOI:

https://doi.org/10.11606/issn.2316-9028.v5i1p1-22

Resumo

For suciently small perturbations with continuous derivative, we show how to establish the optimal regularity of invariant center manifolds when the linear equation admits a nonuniform exponential trichotomy. We also consider the general case of exponential growth rates given by an arbitrary function. This includes the usual exponential behavior as a very special case. Our proof uses the ber contraction principle to establish the regularity property. We note that the argument also applies to sufficiently small linear perturbations, without further changes.

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Publicado

2011-06-30

Como Citar

Barreira, L., & Valls, C. (2011). Center Manifolds Optimal Regularity for Nonuniformly Hyperbolic Dynamics. São Paulo Journal of Mathematical Sciences, 5(1), 1-22. https://doi.org/10.11606/issn.2316-9028.v5i1p1-22

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