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<p>In this work, tri-diagonal bidirectional associative memory (TdBAM) neural networks (NNs) are considered for the Hopf bifurcation and its anti-control investigations. For Hopf bifurcation anti-control analysis, the controller is chosen based on the Washout filter due to its peculiarity. Time delay is regarded as the bifurcation parameter throughout this work. Further, the stability switching region for the proposed system is discussed. In addition, the sensitivity of the bifurcation parameter is observed regarding fractional order and control parameters. Furthermore, the theoretic findings are validated through numerical simulations. Finally, the relation between the bifurcation parameter, control parameter, and the fractional order is explored.</p>

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Washout filter-based Hopf bifurcation anti-control of fractional TdBAM neural networks

  • 期刊论文

  • 发表日期：

    2025年4月8日

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  • M. Rakshana,
  • P. Balasubramaniam

摘要

In this work, tri-diagonal bidirectional associative memory (TdBAM) neural networks (NNs) are considered for the Hopf bifurcation and its anti-control investigations. For Hopf bifurcation anti-control analysis, the controller is chosen based on the Washout filter due to its peculiarity. Time delay is regarded as the bifurcation parameter throughout this work. Further, the stability switching region for the proposed system is discussed. In addition, the sensitivity of the bifurcation parameter is observed regarding fractional order and control parameters. Furthermore, the theoretic findings are validated through numerical simulations. Finally, the relation between the bifurcation parameter, control parameter, and the fractional order is explored.