一个神经网络模型的三周期波解的存在性

Study on the Existence of Periodic Wave Solution Based on Neural Network Model

主要研究一个神经网络模型的周期波解问题.首先给出了三周期波解的定义及其相关的引理,其次证明了该模型的波解存在性问题可以转化为相应的偏差分方程解的存在性问题,并建立了此模型存在周期波解的充分性条件.

In this paper,the periodic wave solution problem was studied by a neural network model.First,the definition of the three periodic wave solutions and its associated lemmas were given.Then,the existence of wave solutions of the model can be transformed into the corresponding existence of solutions of partial difference equations.Some existence results of periodic wave solutions are obtained for the model.