Title
Symbolic Dynamics for Nonhyperbolic Systems
Document Type
Article
Publication Date
12-2010
Department
Mathematics
Language
English
Publication Title
Proceedings of the American Mathematical Society
Abstract
We introduce index systems, a tool for studying isolated invariant sets of dynamical systems that are not necessarily hyperbolic. The mapping of the index systems mimics the expansion and contraction of hyperbolic maps on the tangent space, and they may be used like Markov partitions to generate symbolic dynamics. Every continuous dynamical system satisfying a weak form of expansiveness possesses an index system. Because of their topological robustness, they can be used to obtain rigorous results from computer approximations of a dynamical system.
Recommended Citation
Richeson, David, and Jim Wiseman. "Symbolic Dynamics for Nonhyperbolic Systems." 138, no. 12 (2010): 4373-4385. https://www.jstor.org/stable/41059173?seq=1#metadata_info_tab_contents
Comments
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