Strong Li-Yorke Chaos for Time-Varying Discrete Dynamical Systems with A-Coupled-Expansion

被引:13
|
作者
Shao, Hua [1 ]
Shi, Yuming [1 ]
Zhu, Hao [1 ]
机构
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源
关键词
Time-varying discrete dynamical system; Li-Yorke chaos; coupled-expansion; irreducible transition matrix; scrambled set; MAPS; EQUATIONS; SETS;
D O I
10.1142/S0218127415501862
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with strong Li-Yorke chaos induced by A-coupled-expansion for time-varying (i.e. nonautonomous) discrete systems in metric spaces. Some criteria of chaos in the strong sense of Li-Yorke are established via strict coupled-expansions for irreducible transition matrices in bounded and closed subsets of complete metric spaces and in compact subsets of metric spaces, respectively, where their conditions are weaker than those in the existing literature. One example is provided for illustration.
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页数:10
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