一类Hopfield型神经网络的概周期解  

Almost Periodic Solutions of a Class of Hopfield Neural Network

作　　者：孟艳双[1] 

机构地区：[1]山东交通学院基础部,济南250023

出　　处：《工程数学学报》2005年第1期15-19,共5页Chinese Journal of Engineering Mathematics

摘　　要：研究一类具概周期输入的 Hop?eld 型神经网络模型,通过应用常微分方程定性理论证明了模型 系统概周期解、有界解的存在唯一性及概周期吸引子的存在性。We investigate a class of Hop?eld neural network with almost periodic inputs. By means of qualitative theory of ordinary di?erential equations, we obtain the su?cient conditions for existence of the almost periodic solution and the limited solution, and also for the existence of the almost periodic attractor of the system.

关 键 词：概周期解 HOPFIELD型神经网络 指数二分性 Grownwall不等式 

分 类 号：O175.12[理学—数学]