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Li-Yorke chaos for invertible mappings on compact metric spaces

Dynamical Systems 2016-05-24 v1

Abstract

In this paper, we construct a homeomorphism on the unit closed disk to show that an invertible mapping on a compact metric space is Li-Yorke chaotic does not imply its inverse being Li-Yorke chaotic.

Keywords

Cite

@article{arxiv.1605.07047,
  title  = {Li-Yorke chaos for invertible mappings on compact metric spaces},
  author = {Lvlin Luo and Bingzhe Hou},
  journal= {arXiv preprint arXiv:1605.07047},
  year   = {2016}
}

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5 pages