Codimension-2 Bautin bifurcation in the Lu system

doi:10.1016/j.physleta.2007.02.047

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	Codimension-2 Bautin bifurcation in the Lu system
	Lue, Zhuosheng ; Duan, Lixia
	2007-07-02
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	366 期号:4-5 页码:442-446
摘要	In this Letter, rigorous mathematical analysis as well as numerical simulations are used to study the codimension-2 Bautin bifurcation in the chaotic Lu system. Parameter conditions for the Bautin bifurcation are specified and analytical expressions of the bifurcation curves are presented. Consequently, parameter regions for the supercritical and subcritical Hopf bifurcations are also derived. The numerical results agree quite well with the analytical ones. (C) 2007 Elsevier B.V. All rights reserved.
关键词	Lu system codimension Bautin bifurcation Hopf bifurcation
DOI	10.1016/j.physleta.2007.02.047
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000248252100026
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4501
专题	中国科学院数学与系统科学研究院
通讯作者	Lue, Zhuosheng
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lue, Zhuosheng,Duan, Lixia. Codimension-2 Bautin bifurcation in the Lu system[J]. PHYSICS LETTERS A,2007,366(4-5):442-446.
APA	Lue, Zhuosheng,&Duan, Lixia.(2007).Codimension-2 Bautin bifurcation in the Lu system.PHYSICS LETTERS A,366(4-5),442-446.
MLA	Lue, Zhuosheng,et al."Codimension-2 Bautin bifurcation in the Lu system".PHYSICS LETTERS A 366.4-5(2007):442-446.