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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
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume44Issue:2Pages:193-200
AbstractWe 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.
Keywordchaos asymptotical stability bifurcation neural network snap-back repeller
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000167195800006
PublisherSCIENCE PRESS
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16034
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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