Geodesic
Distributional chaos of time-varying discrete dynamical systems
Lidong Wang1 ; Yingnan Li2 ; Yuelin Gao3 ; Heng Liu4
1 School of Science Dalian Nationalities University Dalian, 116600, Liaoning, China and School of Information and Computing, Science Beifang University of Nationalities Yinchuan 750021, Ningxia, China
2 Mathematical Department Liaoning Normal University Dalian 116029, Liaoning, China
3 School of Information and Computing Science Beifang University of Nationalities Yinchuan 750021, Ningxia, China
4 School of Science Dalian Nationalities University Dalian 116600, Liaoning, China
Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 49-57

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap107-1-3
Keywords: paper concerned distributional chaos time varying discrete systems metric spaces basic concepts introduced general time varying systems including sequentially distributive chaos weak mixing mixing example sequentially distributive chaos finite dimensional linear time varying dynamical systems which distributively chaotic type dci short prove uniformly topological equiconjugate time varying systems have simultaneously sequentially distributive chaos weak topological mixing

Lidong Wang 1 ; Yingnan Li 2 ; Yuelin Gao 3 ; Heng Liu 4

1 School of Science Dalian Nationalities University Dalian, 116600, Liaoning, China and School of Information and Computing, Science Beifang University of Nationalities Yinchuan 750021, Ningxia, China
2 Mathematical Department Liaoning Normal University Dalian 116029, Liaoning, China
3 School of Information and Computing Science Beifang University of Nationalities Yinchuan 750021, Ningxia, China
4 School of Science Dalian Nationalities University Dalian 116600, Liaoning, China 
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Lidong Wang; Yingnan Li; Yuelin Gao; Heng Liu. Distributional chaos of time-varying discrete
 dynamical systems. Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 49-57. doi: 10.4064/ap107-1-3

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