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arXiv · 1901.01067

Transitive sensitive subsystems for interval maps

Sylvie Ruette
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Abstract

We state that for continuous interval maps the existence of a non empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li-Yorke, and we exhibit examples showing that these three notions are distinct.

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Sylvie Ruette. 2019-01-04. Transitive sensitive subsystems for interval maps. https://arxiv.org/abs/1901.01067

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