Stability of Traveling Waves Solutions for Nonlinear Cellular Neural Networks with Distributed Delays

查看全文 作　　者：GUO [1]Yingxin;GE Shuzhi [2]Sam;ARBI [3,4]Adnène

机构地区：[1]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China;[2]Department of Electrical and Computer Engineering,National University of Singapore,117576,Singapore;[3]National School of Advanced Sciences and Technologies of Borj Cedria,University of Carthage,El Khawarizmi Street,Carthage 2078,Tunisia;[4]Laboratory of Engineering Mathematics(LR01ES13),Tunisia.

出　　处：《Journal of Systems Science & Complexity》索引2022年第35卷第1期,共14页

基　　金：supported by the Natural Science Foundation of Shandong Province under Grant No.ZR2017MA045;the National Natural Science Foundation of China under Grant No.61873144。 摘　　要：This paper investigates the exponential stability of traveling wave solutions for nonlinear delayed cellular neural networks.As a continuity of the past work(Wu and Niu,2016;Yu,et al.,2011)on the existence and uniqueness of the traveling wave solutions,it is very reasonable and interesting to consider the exponential stability of the traveling wave solutions.By the weighted energy method,comparison principle and the first integral mean value theorem,this paper proves that,for all monotone traveling waves with the wave speed cc2*>0,the solutions converge time-exponentially to the corresponding traveling waves,when the initial perturbations decay at some fields. 关键词：Cellular delayed neural networks comparison principle stability analysis traveling waves solutions

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Stability of Traveling Waves Solutions for Nonlinear Cellular Neural Networks with Distributed Delays

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