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Chaos behavior in the discrete Fitzhugh nerve system
Jing, ZJ; Jia, ZY; Chang, Y
2001-12-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume44Issue:12Pages:1571-1578
AbstractThe discrete Fitzhugh nerve systems obtained by the Euler method is investigated and it is proved that there exist chaotic phenomena in the sense of Marotto's definition of chaos. 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 and intermittent chaos. The computations of Lyapunov exponents confirm the chaos behaviors. Moreover we also find a strange attractor having the self-similar orbit structure as that of Henon attractor.
Keywordchaos discrete Fitzhugh nerve system
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000175029200009
PublisherSCIENCE CHINA PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16088
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, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Jing, ZJ,Jia, ZY,Chang, Y. Chaos behavior in the discrete Fitzhugh nerve system[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(12):1571-1578.
APA Jing, ZJ,Jia, ZY,&Chang, Y.(2001).Chaos behavior in the discrete Fitzhugh nerve system.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(12),1571-1578.
MLA Jing, ZJ,et al."Chaos behavior in the discrete Fitzhugh nerve system".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.12(2001):1571-1578.
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