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Design and analysis of multiscroll chaotic attractors from saturated function series
Lu, JH; Chen, GR; Yu, XH; Leung, H
2004-12-01
发表期刊IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
ISSN1057-7122
卷号51期号:12页码:2476-2490
摘要This paper initiates a saturated function series approach for chaos generation. The systematic saturated function series methodology developed here can create multiscroll chaotic attractors from a three-dimensional (3D) linear autonomous system with a simple saturated function series controller, including one-directional n-scroll, two-directional n x m-grid scroll, and 3-D n x m x l-grid scroll chaotic attractors. The dynamical behaviors and chaos generation mechanism of multiscroll systems are further investigated by analyzing the system trajectories. In particular, a two-dimensional (2D) Poincare return map is rigorously derived for verifying the chaotic behaviors of the double-scroll chaotic attractor, which is a basic generator of various multiscroll chaotic attractors investigated in the paper.
关键词chaos generation multiscroll chaotic attractor saturated function series saturated plateau
DOI10.1109/TCSI.2004.838151
语种英语
WOS研究方向Engineering
WOS类目Engineering, Electrical & Electronic
WOS记录号WOS:000225484600014
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/1009
专题系统科学研究所
通讯作者Lu, JH
作者单位1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
2.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
3.Univ Calgary, Dept Elect & Comp Engn, Calgary, AB T2N 1N4, Canada
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
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GB/T 7714
Lu, JH,Chen, GR,Yu, XH,et al. Design and analysis of multiscroll chaotic attractors from saturated function series[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2004,51(12):2476-2490.
APA Lu, JH,Chen, GR,Yu, XH,&Leung, H.(2004).Design and analysis of multiscroll chaotic attractors from saturated function series.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,51(12),2476-2490.
MLA Lu, JH,et al."Design and analysis of multiscroll chaotic attractors from saturated function series".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 51.12(2004):2476-2490.
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