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Bifurcations of periodic solutions and chaos in Josephson system
Jing, ZJ; Chan, KY; Xu, DS; Cao, HJ
2001-07-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
Volume7Issue:3Pages:573-592
AbstractThe 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.
KeywordJosephson systems bifurcations periodic solution chaos second-order averaging and Melnikov methods
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000167555000008
PublisherSOUTHWEST MISSOURI STATE UNIV
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16211
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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