Li--Yorke chaos for invertible mappings on noncompact spaces

Authors

BINGZHE HOU
LVLIN LUO

Abstract

In this paper, we give two examples to show that an invertible mapping being 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.

DOI

10.3906/mat-1504-11

Keywords

Invertible dynamical systems, Li--Yorke chaos, noncompact spaces, topological conjugacy

First Page

411

Last Page

416

Recommended Citation

HOU, B, & LUO, L (2016). Li--Yorke chaos for invertible mappings on noncompact spaces. Turkish Journal of Mathematics 40 (2): 411-416. https://doi.org/10.3906/mat-1504-11