Analysis of Topological Structure in Transiently Chaotic Neural Networks

doi:10.1007/s10255-018-0771-9

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	Analysis of Topological Structure in Transiently Chaotic Neural Networks
	Gao, Yang; Zheng, Zuo-huan
	2018-07-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	34 期号:3 页码:610-621
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.
关键词	transiently chaotic neural networks Li-Yorke chaos no division
DOI	10.1007/s10255-018-0771-9
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000441231700012
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30831
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.