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Analysis of Topological Structure in Transiently Chaotic Neural Networks
Gao, Yang; Zheng, Zuo-huan
2018-07-01
Source PublicationACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
Volume34Issue:3Pages:610-621
AbstractUnder the condition that the damping factor is between zero and one, chaotic dynamics is proved to exist in one-dimensional transiently chaotic neural networks by Li-Misiurewicz theorem. This result extends the previous result which is done under the condition that the damping factor is zero. Because the value of damping factor affects the speed of dynamical process of transiently chaotic neural networks, this result provides more complete theoretical basis for applications. Finally, two examples by numerical simulation are given to reinforce and illustrate this result.
Keywordtransiently chaotic neural networks Li-Yorke chaos no division
DOI10.1007/s10255-018-0771-9
Language英语
Funding ProjectNational Natural Science Foundation of China[11071238] ; Key Lab of Random Complex Structures and Data Science, CAS[2008DP173182] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029184K51]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000441231700012
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30831
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Gao, Yang,Zheng, Zuo-huan. Analysis of Topological Structure in Transiently Chaotic Neural Networks[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2018,34(3):610-621.
APA Gao, Yang,&Zheng, Zuo-huan.(2018).Analysis of Topological Structure in Transiently Chaotic Neural Networks.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,34(3),610-621.
MLA Gao, Yang,et al."Analysis of Topological Structure in Transiently Chaotic Neural Networks".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 34.3(2018):610-621.
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