Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors

doi:10.1109/TCSI.2007.904651

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	Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors
	Yu, Simin ; Lu, Jinhu; Chen, Guanrong
	2007-09-01
发表期刊	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
ISSN	1549-8328
卷号	54 期号:9 页码:2087-2098
摘要	This paper introduces a novel fourth-order double-torus chaotic circuit. Based on this basic circuit, a systematic theoretical design approach is proposed for generating 1-D n torus, 2-D n x m-torus, 3-D n X m x 1 torus, and 4-D n x m x 1 x p torus chaotic attractors. This is the first autonomous circuit reported in the literature for generating multidirectional multi-torus (MDMT) chaotic attractors. The dynamical behaviors of these MDMT chaotic systems are further investigated, including equilibrium points, bifurcations, Lyapunov exponents, and Poincare maps. Theoretical analysis shows that the MDMT chaotic attractors can be generated by switching and displacing a basic linear circuit. Finally, a block circuit diagram is designed for hardware implementation of the MDMT chaotic attractors. This is also the first time in the literature to experimentally verify a maximal 1-D 20-torus, a maximal 2-D 5 x 5 torus, and a maximal 4-D 5 x 5 x 3 x 3 torus chaotic attractors.
关键词	fourth-order double-torus chaotic circuit multidirectional multi-torus (MDMT) attractor saturated function series step function series
DOI	10.1109/TCSI.2007.904651
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000249730800022
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/4749
专题	系统科学研究所
通讯作者	Yu, Simin
作者单位	1.Guandong Univ Technol, Coll Automat, Guangzhou 510090, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China 3.Princeton Univ, Dept Ecol & Evolut Biol, Princeton, NJ 08544 USA 4.Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yu, Simin,Lu, Jinhu,Chen, Guanrong. Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2007,54(9):2087-2098.
APA	Yu, Simin,Lu, Jinhu,&Chen, Guanrong.(2007).Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,54(9),2087-2098.
MLA	Yu, Simin,et al."Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 54.9(2007):2087-2098.