Ruelle-takens chaos in non-autonomous dynamical systems
Abstract
The paper is devoted to a study of Ruelle-Takens chaos of non-autonomous discrete systems defined by a sequence of continuous maps acting on a metric space. First we introduce the notion of Ruelle-Takens chaos, defined in a way suitable for non-autonomous discrete systems. We then discuss the chaotic property of the product system; also the relations of two conjugate systems are researched.
Copyright © 2012 Xiaoqian Song, Jinkui Liu, Liangwei Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. S. J. L. Liangwei Wang, Ruelle-takens chaos in non-autonomous dynamical systems, Eng. Math. Lett. 1 (2012), 65–74.
BibTeX
@article{Wang2012,
author = {Liangwei Wang, Xiaoqian Song, Jinkui Liu,},
title = {Ruelle-takens chaos in non-autonomous dynamical systems},
journal = {Eng. Math. Lett.},
volume = {1},
year = {2012},
pages = {65--74},
doi = {}
}