This paper mainly considers the complex dynamics of a discrete-time ring neural network with multiple time delays. By transforming the network system into a system of difference equations, one can obtain a chaotic neural network. More specifically, by projection method one can determine a closed invariant set of the system governed by some difference equations, and prove that some invariant subsystem is topologically conjugate to the two-sided symbolic dynamical system. Moreover, numerical simulations are presented to verify the theoretical results.

中文翻译：

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离散时间环神经网络的复杂动力学

本文主要考虑具有多个时延的离散时间环神经网络的复杂动力学。通过将网络系统转化为差分方程组，可以得到一个混沌神经网络。更具体地说，通过投影方法可以确定由一些差分方程支配的系统的闭不变集，并证明某个不变子系统与双边符号动力系统是拓扑共轭的。此外，还给出了数值模拟来验证理论结果。