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Generating two simultaneously chaotic attractors with a switching piecewise-linear controller
Zheng, ZH; Lu, JH; Chen, GR; Zhou, TS; Zhang, SC
2004-04-01
Source PublicationCHAOS SOLITONS & FRACTALS
ISSN0960-0779
Volume20Issue:2Pages:277-288
AbstractIt has been demonstrated that a piecewise-linear system can generate chaos under suitable conditions. This paper proposes a novel method for simultaneously creating two symmetrical chaotic attractor-an upper-attractor and a lower-attractor-in a 3D linear autonomous system. Basically dynamical behaviors of this new chaotic system are further investigated. Especially, the chaos formation mechanism is explored by analyzing the structure of fixed points and the system trajectories. (C) 2003 Elsevier Ltd. All rights reserved.
DOI10.1016/S0960-0779(03)00376-X
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000187745100012
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19179
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLu, JH
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
3.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zheng, ZH,Lu, JH,Chen, GR,et al. Generating two simultaneously chaotic attractors with a switching piecewise-linear controller[J]. CHAOS SOLITONS & FRACTALS,2004,20(2):277-288.
APA Zheng, ZH,Lu, JH,Chen, GR,Zhou, TS,&Zhang, SC.(2004).Generating two simultaneously chaotic attractors with a switching piecewise-linear controller.CHAOS SOLITONS & FRACTALS,20(2),277-288.
MLA Zheng, ZH,et al."Generating two simultaneously chaotic attractors with a switching piecewise-linear controller".CHAOS SOLITONS & FRACTALS 20.2(2004):277-288.
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