Li--Yorke chaos for invertible mappings on noncompact spaces

Authors

BINGZHE HOU
LVLIN LUO

DOI

10.3906/mat-1504-11

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.

Keywords

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

First Page

411

Last Page

416

Recommended Citation

HOU, BINGZHE and LUO, LVLIN (2016) "Li--Yorke chaos for invertible mappings on noncompact spaces," Turkish Journal of Mathematics: Vol. 40: No. 2, Article 15. https://doi.org/10.3906/mat-1504-11
Available at: https://journals.tubitak.gov.tr/math/vol40/iss2/15