Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System

doi:10.3390/sym14051036

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	Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
	Huang, Bo 1; Niu, Wei 2,3; Xie, Shaofen 4
	2022-05-01
发表期刊	SYMMETRY-BASEL
卷号	14 期号:5 页码:16
摘要	This article first studies the stability conditions of a Chua system depending on six parameters. After, using the averaging method, as well as the methods of the Grobner basis and real solution classification, we provide sufficient conditions for the existence of three limit cycles bifurcating from a zero-Hopf equilibrium of the Chua system. As we know, this last phenomena is first found. Some examples are presented to verify the established results.
关键词	averaging method limit cycle symbolic computation zero-Hopf bifurcation
DOI	10.3390/sym14051036
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12101032] ; National Natural Science Foundation of China[12131004] ; National Natural Science Foundation of China[11601023] ; Beijing Natural Science Foundation[1212005]
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000801537500001
出版者	MDPI
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61431
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, Shaofen
作者单位	1.Beihang Univ, LMIB Sch Math Sci, Beijing 100191, Peoples R China 2.Beihang Univ, Ecole Cent Pekin, Beijing 100191, Peoples R China 3.Beihang Hangzhou Innovat Inst Yuhang, Hangzhou 310051, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Bo,Niu, Wei,Xie, Shaofen. Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System[J]. SYMMETRY-BASEL,2022,14(5):16.
APA	Huang, Bo,Niu, Wei,&Xie, Shaofen.(2022).Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System.SYMMETRY-BASEL,14(5),16.
MLA	Huang, Bo,et al."Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System".SYMMETRY-BASEL 14.5(2022):16.