Li-Yorke chaos for invertible mappings on non-compact spaces
Dynamical Systems
2015-04-07 v2
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.
Keywords
Cite
@article{arxiv.1503.06895,
title = {Li-Yorke chaos for invertible mappings on non-compact spaces},
author = {Luo Lvlin and Hou Bingzhe},
journal= {arXiv preprint arXiv:1503.06895},
year = {2015}
}