Bifurcations of periodic solutions and chaos in Josephson system

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	Bifurcations of periodic solutions and chaos in Josephson system
	Jing, ZJ ; Chan, KY ; Xu, DS ; Cao, HJ
	2001-07-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	7 期号:3 页码:573-592
摘要	The Josephson equation is investigated in detail: the existence and bifurcations for harmonic and subharmonic solutions under small perturbations are obtained by using second-order averaging method and subharmonic Melnikov function, and the criterion of existence for chaos is proved by Melnikov analysis; the bifurcation curves about n-subharmonic and heteroclinic orbits and the driving frequency omega effects to the forms of chaotic behaviors are given by numerical simulations.
关键词	Josephson systems bifurcations periodic solution chaos second-order averaging and Melnikov methods
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000167555000008
出版者	SOUTHWEST MISSOURI STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16211
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, ZJ
作者单位	1.Hunan Normal Univ, Dept Math, Changsha, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 3.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Jing, ZJ,Chan, KY,Xu, DS,et al. Bifurcations of periodic solutions and chaos in Josephson system[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2001,7(3):573-592.
APA	Jing, ZJ,Chan, KY,Xu, DS,&Cao, HJ.(2001).Bifurcations of periodic solutions and chaos in Josephson system.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,7(3),573-592.
MLA	Jing, ZJ,et al."Bifurcations of periodic solutions and chaos in Josephson system".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 7.3(2001):573-592.