Bifurcation and chaos in discrete FitzHugh-Nagumo system

doi:10.1016/j.chaos.2003.12.043

CSpace

	Bifurcation and chaos in discrete FitzHugh-Nagumo system
	Jing, ZJ ; Chang, Y ; Guo, BL
	2004-07-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	21 期号:3 页码:701-720
摘要	The discrete FitzHugh-Nagumo system obtained by Euler method is investigated. The conditions of existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory, chaotic behavior in the sense of Marotto's definition of chaos is proved. And numerical simulation results not only show the consistence with the theoretical analysis but also display the new and interesting dynamical behaviors, including attracting invariant circle, period-3, period-6, period-7, period-9, period-15, period-20, period-21, and period-n orbits, an inverse cascade of period-doubling bifurcation in period-3, cascade of period-doubling bifurcation in periods-9, 15, 20 and 21, interior and exterior crisis phenomena, intermittency mechanic, transient chaos in period-window, attracting and non-attracting chaotic attractors. The computations of Lyapunov exponents confirm the chaotic behaviors. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2003.12.043
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:000220278400018
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/19514
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, Beijing 100080, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Jing, ZJ,Chang, Y,Guo, BL. Bifurcation and chaos in discrete FitzHugh-Nagumo system[J]. CHAOS SOLITONS & FRACTALS,2004,21(3):701-720.
APA	Jing, ZJ,Chang, Y,&Guo, BL.(2004).Bifurcation and chaos in discrete FitzHugh-Nagumo system.CHAOS SOLITONS & FRACTALS,21(3),701-720.
MLA	Jing, ZJ,et al."Bifurcation and chaos in discrete FitzHugh-Nagumo system".CHAOS SOLITONS & FRACTALS 21.3(2004):701-720.