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Generating Grid Multiwing Chaotic Attractors by Constructing Heteroclinic Loops Into Switching Systems
Yu, Simin1; Lu, Jinhu2,3; Chen, Guanrong4; Yu, Xinghuo3
2011-05-01
发表期刊IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
ISSN1549-7747
卷号58期号:5页码:314-318
摘要Over the last two decades, multiwing chaos generation has seen promising advances and becomes an active research field today. It is well known that there is a gap between theoretical design and engineering applications in multiwing chaos generation. That is, most theoretical designs of multiwing chaotic attractors with mathematical proofs or numerical verification have rather complex expressions; however, most engineering applications of multiwing chaotic attractors without theoretical supports have simple expressions. To bridge the gap between theoretical design and engineering applications in multiwing chaos generation, this paper introduces a novel practical approach for generating grid multiwing butterfly chaotic attractors from the multipiecewise Lu system by constructing heteroclinic loops. It should be particularly pointed out that the designed multiwing chaotic attractors exhibit typical heteroclinic chaos from the heteroclinic Shil'nikov theorem and also have clear potential engineering applications. The proposed method can be easily extended to the generalized Lorenz system family.
关键词Generalized Lorenz system family heteroclinic loop multipiecewise Lu system multiwing chaotic attractor
DOI10.1109/TCSII.2011.2149090
语种英语
资助项目National Natural Science Foundation of China (NSFC)[10832006] ; National Natural Science Foundation of China (NSFC)[60821091] ; National Natural Science Foundation of China (NSFC)[60772158] ; National Natural Science Foundation of China (NSFC)[60572073] ; National Natural Science Foundation of China (NSFC)[60871025] ; National Natural Science Foundation of China (NSFC)[11072254] ; National Natural Science Foundation of China (NSFC)[61025017] ; 973 Program of China[2007CB310805] ; Natural Science Foundation of Guangdong Province[8151009001000060] ; Natural Science Foundation of Guangdong Province[8351009001000002] ; Science and Technology Plan Project of Guangdong Province[2009B010800037] ; NSFC and Research Grants Council of Hong Kong[N-CityU117/10] ; Australian Research Council[FT0992226] ; Discovery Scheme[DP0986376]
WOS研究方向Engineering
WOS类目Engineering, Electrical & Electronic
WOS记录号WOS:000291428900014
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/11801
专题系统科学研究所
通讯作者Yu, Simin
作者单位1.Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
3.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
4.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
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GB/T 7714
Yu, Simin,Lu, Jinhu,Chen, Guanrong,et al. Generating Grid Multiwing Chaotic Attractors by Constructing Heteroclinic Loops Into Switching Systems[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,2011,58(5):314-318.
APA Yu, Simin,Lu, Jinhu,Chen, Guanrong,&Yu, Xinghuo.(2011).Generating Grid Multiwing Chaotic Attractors by Constructing Heteroclinic Loops Into Switching Systems.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,58(5),314-318.
MLA Yu, Simin,et al."Generating Grid Multiwing Chaotic Attractors by Constructing Heteroclinic Loops Into Switching Systems".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 58.5(2011):314-318.
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