具可变时滞和分布时滞的细胞神经网络的2~N具权重伪概周期解问题(英文)  

2~N Weighted Pseudo Almost Periodic Solutions for CNNs with Variable and Distributed Delays

作　　者：王奇[1] 王锐[1] 郑兆岳[2] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039 [2]安徽工贸职业技术学院基础部,安徽淮南232007

出　　处：《应用数学》2014年第1期73-81,共9页Mathematica Applicata

基　　金：Supported by the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001);the NNSF of China(11271371,11226247);the 211Project of AnhuiUniversity(02303129,KJTD002B,02303303-33030011,02303902-39020011,KYXL2012004,XJYJXKC04);the Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028);the Foundation of Anhui Provincial Nature Science Foundation(1208085MA13,1308085MA01,1308085QA15,1408085MA02)

摘　　要：本文讨论一类具可变时滞和分布时滞的细胞神经网络的2 N具权重伪概周期解的存在性和多重性.通过对系统功能函数和参数给出一些新的假设,把细胞神经网络的不变盆分成2 N个紧凸子集.证明过程说明在每一个紧凸子集内至少存在该系统的一个具权重伪概周期解.最后给出一个例子说明所得结果的可行性.In this paper, we investigate dynamics of 2^N weighted pseudo almost periodic solutions for cellular neural networks （CNNs） with variable and distributed delays. By imposing some new assumptions on activation functions and system parameters, we split invariant basin of CNNs into 2^N compact convex subsets. It is shown that the weighted pseudo almost periodic system has a unique weighted pseudo almost periodic solution lying in every compact convex subsets. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.

关 键 词：细胞神经网络 具权重伪概周期解 存在性和多重性 

分 类 号：O175.7[理学—数学]