Topological and Symbolic Dynamics for Axiom A Diffeomorphisms with Holes

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We consider an Axiom A diffeomorphism and the invariant set $Ω$ of orbits which never falls into a fixed hole. We study various aspects of the complexity of the symbolic representation of $Ω$. Our main result are that each topologically transitive component of $Ω$ is coded and that typically $Ω$ is of finite type.
17 pages, no figures

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Dynamical Systems, Mathematical Physics, 37D20; 37B10

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http://salesiana.dossiersoluciones.com/handle/123456789/60762

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101128
 http://arxiv.org/abs/math/0101128

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arXiv