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Distributional chaos of time-varying discrete dynamical systems

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Wang L., Li Y., Gao Y., Liu H.

Annales Polonici Mathematici

2013

tom 107

nr 1

49-57

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Gao Y.

1 Li Y.

1 Liu H.

1 Wang L.

1 2013

Wyniki wyszukiwania

Distributional chaos of time-varying discrete dynamical systems