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Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method
Lu, JH; Han, FL; Yu, XH; Chen, GR
2004-10-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume40Issue:10Pages:1677-1687
AbstractThis paper introduces a systematic method-a hysteresis series switching approach-for generating multi-scroll chaotic attractors from a three-dimensional linear autonomous system, including 1-D n-scroll, 2-D n x m-grid scroll, and 3-D n x m x l-grid scroll chaotic attractors. The chaos generation mechanism is studied by analyzing the system trajectories and the hysteresis switching dynamics of the controlled chaotic systems are explored. Moreover, a two-dimensional Poincare return map is rigorously derived. This map and its maximum Lyapunov exponent are applied to verifying the chaotic behaviors of the generated 3-D multi-scroll chaotic attractors. (C) 2004 Elsevier Ltd. All rights reserved.
Keywordchaos generation multi-scroll chaotic attractor hysteresis series switching control
DOI10.1016/j.automatica.2004.06.001
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000223520600003
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:192[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19610
Collection系统科学研究所
Affiliation1.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Lu, JH,Han, FL,Yu, XH,et al. Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method[J]. AUTOMATICA,2004,40(10):1677-1687.
APA Lu, JH,Han, FL,Yu, XH,&Chen, GR.(2004).Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method.AUTOMATICA,40(10),1677-1687.
MLA Lu, JH,et al."Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method".AUTOMATICA 40.10(2004):1677-1687.
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