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Chaos behavior in the discrete BVP oscillator
Jing, ZJ; Jia, ZY; Wang, RQ
2002-03-01
Source PublicationINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN0218-1274
Volume12Issue:3Pages:619-627
AbstractThe discrete BVP oscillator obtained through the Euler method is investigated, and also first proved that there exist chaotic phenomena in the sense of Marotto's definition of chaos and two-period cycles. And numerical simulations not only show the consistence with the theoretical analysis but also exhibit the complex dynamical behaviors, including the ten-periodic orbit, a cascade of period-doubling bifurcation, quasiperiodic orbits and the chaotic orbits in Marotto's chaos and intermitten's chaos. The computations of Lyapunov exponents confirm the existence of dynamical behaviors.
KeywordBVP oscillator snap-back repeller bifurcations of periodic orbits chaos
Language英语
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000175109500011
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17376
Collection中国科学院数学与系统科学研究院
Affiliation1.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China
2.Chinese Acad Sci, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Jing, ZJ,Jia, ZY,Wang, RQ. Chaos behavior in the discrete BVP oscillator[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2002,12(3):619-627.
APA Jing, ZJ,Jia, ZY,&Wang, RQ.(2002).Chaos behavior in the discrete BVP oscillator.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,12(3),619-627.
MLA Jing, ZJ,et al."Chaos behavior in the discrete BVP oscillator".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 12.3(2002):619-627.
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