In this paper, the complex dynamical behaviors in a discrete neural network loop with self-feedback are studied. Specifically, an invariant closed set of the system of neural network loops is built and the subsystem restricted on this invariant closed set is topologically conjugate to a two-sided symbolic dynamical system which has two symbols. In the end, some illustrative numerical examples are given to demonstrate our theoretical results.

中文翻译：

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具有自反馈的离散神经网络回路上的混沌

本文研究了具有自反馈的离散神经网络回路中的复杂动力学行为。具体地，建立神经网络回路系统的不变封闭集，并且限制在该不变封闭集上的子系统在拓扑上共轭到具有两个符号的双面符号动力学系统。最后，给出了一些说明性的数值例子来证明我们的理论结果。