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Analysis of Topological Structure in Transiently Chaotic Neural Networks

文献类型：期刊论文

作者Gao, Yang; Zheng, Zuo-huan
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2018-07-01
卷号34期号:3页码:610-621
关键词transiently chaotic neural networks Li-Yorke chaos no division
ISSN号0168-9673
DOI10.1007/s10255-018-0771-9
英文摘要Under 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.
资助项目National 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研究方向Mathematics
语种英语
WOS记录号WOS:000441231700012
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/30830]  
专题应用数学研究所
通讯作者Gao, Yang
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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