Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

Jakub Sotola

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arXiv · 1801.00139

Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

Jakub Sotola

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Abstract

We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.

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Jakub Sotola. 2017-12-30. Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems. https://arxiv.org/abs/1801.00139

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