Chaotic attractor generation and critical value analysis via switching approach | |
Guo, Jiajie ; Xie, Guangming ; Wang, Long | |
刊名 | chaos solitons fractals |
2009 | |
关键词 | LINEAR-SYSTEMS CONTROLLABILITY SYNCHRONIZATION HYSTERESIS |
DOI | 10.1016/j.chaos.2007.10.015 |
英文摘要 | The generation of novel chaotic funnel-shaped attractors is introduced and the analysis of related critical values is given with a proposed switching method in this paper. The underlying mechanism involves a simple three-dimensional switched system and a hysteretically switching signal. Moreover, theoretic analysis is carried out to study the attractor generation and the corresponding critical values by fully utilizing the specific structure of the non-smooth system. Based oil carefully derivation, the critical values and related stability regions of the created attractors are estimated explicitly, which is usually impossible for general non-smooth dynamics. In addition, it is demonstrated by Simulation that various attractor patterns are generated conveniently by adjusting suitable system parameters. (C) 2007 Elsevier Ltd. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000267182400010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; 8; ARTICLE; 5; 2160-2169; 40 |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/247146] |
专题 | 工学院 |
推荐引用方式 GB/T 7714 | Guo, Jiajie,Xie, Guangming,Wang, Long. Chaotic attractor generation and critical value analysis via switching approach[J]. chaos solitons fractals,2009. |
APA | Guo, Jiajie,Xie, Guangming,&Wang, Long.(2009).Chaotic attractor generation and critical value analysis via switching approach.chaos solitons fractals. |
MLA | Guo, Jiajie,et al."Chaotic attractor generation and critical value analysis via switching approach".chaos solitons fractals (2009). |
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