Chaos behavior in the discrete Fitzhugh nerve system

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	Chaos behavior in the discrete Fitzhugh nerve system
	Jing, ZJ ; Jia, ZY ; Chang, Y
	2001-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:12 页码:1571-1578
摘要	The 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.
关键词	chaos discrete Fitzhugh nerve system
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000175029200009
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16088
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 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
推荐引用方式 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.