KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 1549-7747 |
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 |
DOI | 10.1109/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 |
推荐引用方式 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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