Distributional chaos of time-varying discrete dynamical systems

• Autorzy: Lidong Wang , Yingnan Li , Yuelin Gao , Heng Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 107
• Numer: 1
• Strony: 49-57

Daty

wydano

2013

Twórcy

autor

Lidong Wang

• School of Science, Dalian Nationalities University, Dalian, 116600, Liaoning, China
• School of Information and Computing, Science, Beifang University of Nationalities, Yinchuan 750021, Ningxia, China

autor

Yingnan Li

• Mathematical Department, Liaoning Normal University, Dalian 116029, Liaoning, China

autor

Yuelin Gao

• School of Information and Computing Science, Beifang University of Nationalities, Yinchuan 750021, Ningxia, China

autor

Heng Liu

• School of Science, Dalian Nationalities University, Dalian 116600, Liaoning, China

Identyfikatory

DOI

10.4064/ap107-1-3