KMS Of Academy of mathematics and systems sciences, CAS
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 Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 44Issue:2Pages:193-200 |
Abstract | 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. |
Keyword | chaos asymptotical stability bifurcation neural network snap-back repeller |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000167195800006 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16034 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 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 |
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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