TIME-VARYING PERTURBATIONS OF CHAOTIC DISCRETE SYSTEMS

被引：6
|
作者：
Zhang, Lijuan [2 ]
Shi, Yuming [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
[2] Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 03期
关键词：
Chaos; time-varying discrete system; coupled-expansion; snap-back repeller; perturbation; MAPS;
D O I：
10.1142/S0218127412500666
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with time-varying discrete dynamical systems in Banach spaces. A criterion of chaos induced by coupled-expansion for time-varying systems is first established and then the persistence of coupled-expansion is considered for time-varying systems under small time-varying perturbations, under which the perturbed system is shown chaotic in the strong sense of Li-Yorke. By applying this result, a map with a regular and nondegenerate snap-back repeller is shown to be still chaotic in the strong sense of Li-Yorke under small time-varying perturbations.
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页数：14
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