Topological and Symbolic Dynamics for Hyperbolic Systems with Holes
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چکیده
We consider an Axiom A diffeomorphism or a Markov map of an interval and the invariant set Ω∗ of orbits which never falls into a fixed hole. We study various aspects of the symbolic representation of Ω∗ and of its nonwandering set Ω. Our results are on the cardinality of the set of topologically transitive components of Ω and their structure. We also prove that Ω∗ is generically a subshift of finite type in several senses.
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تاریخ انتشار 2010