Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function

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	Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function
	Wang, JL ; Chen, LN ; Jing, ZJ
	2001-02-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:2 页码:193-200
摘要	We theoretically investigate the asymptotical stability, local bifurcations and chaos of discrete-time recurrent neural networks with the form of [GRAPHICS] where the input-output function is defined as a generalized sigmoid function, such as v(j) = tanh(mu (j)mu (j)), v(i) = 2/pi arctan(pi /2 mu (i)u(i)) and v(i) = 1/1 + Theta (-u)(/E)(i), etc. Numerical simulations are also provided to demonstrate the theoretical results.
关键词	chaos asymptotical stability bifurcation neural network snap-back repeller
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000167195800006
出版者	SCIENCE 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/16034
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, JL
作者单位	1.Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China 2.Osaka Sangyo Univ, Osaka 5748530, Japan 3.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Wang, JL,Chen, LN,Jing, ZJ. Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(2):193-200.
APA	Wang, JL,Chen, LN,&Jing, ZJ.(2001).Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(2),193-200.
MLA	Wang, JL,et al."Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.2(2001):193-200.