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<p>A generalized neural network with four arbitrary delays is considered in this paper. A criterion of both Devaney chaos and Li-Yorke chaos is given under some weak conditions. Furthermore, lower bounds of the parameters of making the network chaotic are effectively determined. For different values of the delays, the proving processes of chaos are different and extremely complicated, while the results are very beautiful. In order to show the chaotic behaviors better, two examples are provided and theirs chaotic phenomena and the trends of the largest Lyapunov exponents for different parameters are displayed.</p>

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Chaotic dynamics in a generalized neural network with four delays

  • 期刊论文

  • 发表日期：

    2025年2月6日

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  • Wei Liang,
  • Yongjun Zhang,
  • Lianjie Song

摘要

A generalized neural network with four arbitrary delays is considered in this paper. A criterion of both Devaney chaos and Li-Yorke chaos is given under some weak conditions. Furthermore, lower bounds of the parameters of making the network chaotic are effectively determined. For different values of the delays, the proving processes of chaos are different and extremely complicated, while the results are very beautiful. In order to show the chaotic behaviors better, two examples are provided and theirs chaotic phenomena and the trends of the largest Lyapunov exponents for different parameters are displayed.