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arXiv · 1503.06895

Li-Yorke chaos for invertible mappings on non-compact spaces

Luo Lvlin·Hou Bingzhe
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Abstract

In this paper, we give two examples to show that an invertible mapping is Li-Yorke chaotic does not imply its inverse being Li-Yorke chaotic, in which one is an invertible bounded linear operator on an infinite dimensional Hilbert space and the other is a homeomorphism on the unit open disk. Moreover, we use the last example to prove that Li-Yorke chaos is not preserved under topological conjugacy.

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Luo Lvlin, Hou Bingzhe. 2015-04-06. Li-Yorke chaos for invertible mappings on non-compact spaces. https://arxiv.org/abs/1503.06895

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