Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system

doi:10.1016/j.chaos.2003.12.033

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	Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system
	Gao, YH
	2004-08-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	21 期号:4 页码:943-956
摘要	The discrete space-clamped FitzHugh-Nagumo system obtained by the Euler method is investigated. It is proven that there are SNB and Naimark-Sacker bifurcations and chaotic phenomena in the sense of Marotto. The numerical simulations presented not only show the consistence of our results with the theoretical analysis but also exhibit the complex dynamical behaviors. This includes the period-9, 10, 16, 25, 27 and 42 orbits, quasi-period orbits, cascade of period-doubling bifurcations, pitchfork bifurcation, attractor merging crisis and boundary crisis, intermittency as well as supertransient and chaotic bands. The computation of Lyapunov exponents confirms the dynamical behaviors. We also consider the influence of periodic external signal on the original system via numerical simulations and find that and omega affect the dynamical behaviors significantly. (C) 2003 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2003.12.033
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000220413000018
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/660
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, YH
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, YH. Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system[J]. CHAOS SOLITONS & FRACTALS,2004,21(4):943-956.
APA	Gao, YH.(2004).Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system.CHAOS SOLITONS & FRACTALS,21(4),943-956.
MLA	Gao, YH."Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system".CHAOS SOLITONS & FRACTALS 21.4(2004):943-956.