Distributional chaos of time-varying discrete dynamical systems

Lidong Wang, et al. "Distributional chaos of time-varying discrete dynamical systems." Annales Polonici Mathematici 107.1 (2013): 49-57. <http://eudml.org/doc/280699>.

@article{LidongWang2013,
abstract = {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.},
author = {Lidong Wang, Yingnan Li, Yuelin Gao, Heng Liu},
journal = {Annales Polonici Mathematici},
keywords = {time-varying discrete system; distributional chaos of type ; distributional chaos in a sequence; topological conjugacy},
language = {eng},
number = {1},
pages = {49-57},
title = {Distributional chaos of time-varying discrete dynamical systems},
url = {http://eudml.org/doc/280699},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Lidong Wang
AU - Yingnan Li
AU - Yuelin Gao
AU - Heng Liu
TI - Distributional chaos of time-varying discrete dynamical systems
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 1
SP - 49
EP - 57
AB - 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.
LA - eng
KW - time-varying discrete system; distributional chaos of type ; distributional chaos in a sequence; topological conjugacy
UR - http://eudml.org/doc/280699
ER -