Wada basin boundaries in switched systems

被引：1
|
作者：
Zhang, Yongxiang [1 ,3 ]
Zhang, Huaguang [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] State Key Lab Synthet Automat Proc Ind, Shenyang, Liaoning, Peoples R China
[3] Shenyang Agr Univ, Coll Sci, Shenyang 110866, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 76卷 / 01期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
Switched system; Auxiliary dynamical systems; Basin of attraction; Wada basin boundary; Unpredictability; STRANGE NONCHAOTIC ATTRACTORS; FRACTAL STRUCTURES; STABILITY REGIONS; DYNAMICAL-SYSTEMS; LINEAR-SYSTEMS; UNPREDICTABILITY; OSCILLATOR; DOMAIN;
D O I：
10.1007/s11071-013-1126-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The Wada basin boundaries of a switched H,non map have been verified for period-2 switching signals [Zhang in Nonlinear Dyn. 73:2221-2229, 2013]. Based upon the auxiliary dynamical system method, the results are extended to the generally switched systems with time-dependent switching. Under some generic assumptions, some sufficient conditions guaranteeing Wada basin boundaries are presented for the periodic switching signals. The results show that switching signals can give rise to this type of basin structure. It suggests that the unpredictability associated to the Wada property can also occur in the switched system.
引用
收藏
页码：281 / 288
页数：8
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