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Chaos on Discrete Neural Network Loops with Self-Feedback

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  • Yuanlong Chen
  • Xiaoying Wu

Abstract

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.

Suggested Citation

  • Yuanlong Chen & Xiaoying Wu, 2020. "Chaos on Discrete Neural Network Loops with Self-Feedback," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-9, December.
    • Handle: RePEc:hin:jnddns:3528684
    DOI: 10.1155/2020/3528684
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