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- W1736111185 abstract "In this paper, we study the complicated dynamics of infinite-dimensional random dynamical systems that include deterministic dynamical systems as their special cases in a Polish space. Without assuming any hyperbolicity, we prove if a continuous random map has a positive topological entropy, then it contains a topological horseshoe. We also show that the positive topological entropy implies the chaos in the sense of Li-Yorke. The complicated behavior exhibited here is induced by the positive entropy but not the randomness of the system.© 2017 Wiley Periodicals, Inc." @default.
- W1736111185 created "2016-06-24" @default.
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- W1736111185 date "2017-05-03" @default.
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- W1736111185 title "Entropy, Chaos, and Weak Horseshoe for Infinite-Dimensional Random Dynamical Systems" @default.
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- W1736111185 doi "https://doi.org/10.1002/cpa.21698" @default.
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