This paper is concerned with distributional chaos of time-varying discrete systems in metric spaces. Some basic concepts are introduced for general time-varying systems, including sequentially distributive chaos, weak mixing, and mixing. We give an example of sequentially distributive chaos of finite-dimensional linear time-varying dynamical systems, which is not distributively chaotic of type i (DCi for short, i = 1, 2). We also prove that two uniformly topological equiconjugate time-varying systems have simultaneously sequentially distributive chaos and weak topological mixing.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-3,
author = {Lidong Wang and Yingnan Li and Yuelin Gao and Heng Liu},
title = {Distributional chaos of time-varying discrete dynamical systems},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {49-57},
zbl = {1267.54035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-3}
}
Lidong Wang; Yingnan Li; Yuelin Gao; Heng Liu. Distributional chaos of time-varying discrete dynamical systems. Annales Polonici Mathematici, Tome 107 (2013) pp. 49-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-1-3/