DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS

doi:10.1142/S0218127410025387

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	DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS
	Yu, Simin 1; Tang, Wallace K. S.2; Lu, Jinhu3,4 ; Chen, Guanrong 2
刊名	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
	2010
卷号	20 期号:1 页码:29-41
关键词	Multi-wing butterfly attractor Lorenz-type system sawtooth wave function circuit implementation
ISSN号	0218-1274
DOI	10.1142/S0218127410025387
英文摘要	Lorenz system, as the first classical chaotic system, has been intensively investigated over the last four decades. Based on the sawtooth wave function, this paper initiates a novel approach for generating multi-wing butterfly chaotic attractors from the generalized first and second kinds of Lorenz-type systems. Compared with the traditional ring-shaped multi-scroll Lorenz chaotic attractors, the proposed multi-wing butterfly chaotic attractors are much easier to be designed and implemented by analog circuits. The dynamical behaviors of these multi-wing butterfly chaotic systems are further studied. Theoretical analysis shows that every index-2 saddle-focus equilibrium corresponds to a unique wing in the butterfly attractors. Finally, a module-based unified circuit diagram is constructed for realizing various multi-wing butterfly attractors. It should be especially pointed out that this is the first time in the literature that a maximal 10-wing butterfly chaotic attractor is experimentally verified by analog circuits.
资助项目	National Natural Science Foundation of China[60772158] ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60871025] ; National Natural Science Foundation of China[60572073] ; Important Direction Project of Knowledge Innovation Program of Chinese Academy of Sciences[KJCX3-SYW-S01] ; National Basic Research (973) Program of China[2007CB310805] ; Natural Science Foundation of Guangdong Province[8151009001000060] ; Natural Science Foundation of Guangdong Province on Innovation Research Group[8351009001000002] ; Science and Technology Plan Project of Guangdong Province[2009B010800037]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000275981100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11010]
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.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China 4.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
推荐引用方式 GB/T 7714	Yu, Simin,Tang, Wallace K. S.,Lu, Jinhu,et al. DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2010,20(1):29-41.
APA	Yu, Simin,Tang, Wallace K. S.,Lu, Jinhu,&Chen, Guanrong.(2010).DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,20(1),29-41.
MLA	Yu, Simin,et al."DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20.1(2010):29-41.