变系数变时滞分层抑制细胞神经网络的概周期解(英文)  

Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Variable Coefficients and Time-varying Delays

作　　者：周艳杰[1] 张丽娟[2] 

机构地区：[1]北京工商大学应用数学系,北京100048 [2]烟台海军航空工程学院应用数学所,山东烟台264001

出　　处：《应用数学》2009年第2期352-357,共6页Mathematica Applicata

基　　金：Supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University and the Younger Foundation of Yantai University (SX06Z9)

摘　　要：本文研究了一类变系数变时滞分层抑制细胞神经网络(SICNNs).在不要求激活函数全局Lipschitz和有界的条件下,利用指数二分法和Banach不动点定理,得到了系统存在唯一的概周期解的一些充分条件.一个数值例子用以说明本文结果的可行性.In this paper, the shunting inhibitory cellular neural networks（SICNNs） with variable coefficients and time-varying delays are considered. Without assuming the global Lipschitz and hounded conditions of activation functions,sufficient conditions for the existence of a unique almost periodic solution for the system are established by using exponential dichotomy and the Banach fixed point theorem. An example is given to illustrate that the criterion are feasible.

关 键 词：概周期解 分层抑制细胞神经网络 指数二分法 不动点定理 

分 类 号：O175.14[理学—数学]