A new chaotic system and beyond: The generalized Lorenz-like system

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	A new chaotic system and beyond: The generalized Lorenz-like system
	Lu, JH; Chen, GR ; Cheng, DZ
	2004-05-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	14 期号:5 页码:1507-1537
摘要	This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display (i) two 1-scroll chaotic attractors simultaneously, with only three equilibria, and (ii) two 2-scroll chaotic attractors simultaneously, with five equilibria. Several issues such as some basic dynamical behaviors, routes to chaos, bifurcations, periodic windows, and the compound structure of the new chaotic system are then investigated, either analytically or numerically. Of particular interest is the fact that this chaotic system can generate a complex 4-scroll chaotic attractor or confine two attractors to a 2-scroll chaotic attractor under the control of a simple constant input. Furthermore, the concept of generalized Lorenz system is extended to a new class of generalized Lorenz-like systems in a canonical form. Finally, the important problems of classification and normal form of three-dimensional quadratic autonomous chaotic systems are formulated and discussed.
关键词	multi-scroll chaotic attractor chaotification three-dimensional quadratic autonomous system Lorenz-like system normal form
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000222815200001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19164
专题	系统科学研究所
通讯作者	Lu, JH
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Lu, JH,Chen, GR,Cheng, DZ. A new chaotic system and beyond: The generalized Lorenz-like system[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2004,14(5):1507-1537.
APA	Lu, JH,Chen, GR,&Cheng, DZ.(2004).A new chaotic system and beyond: The generalized Lorenz-like system.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,14(5),1507-1537.
MLA	Lu, JH,et al."A new chaotic system and beyond: The generalized Lorenz-like system".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14.5(2004):1507-1537.