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Multistability of almost periodic solution for Clifford-valued Cohen–Grossberg neural networks with mixed time delays

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  • Zhang, Yan
  • Qiao, Yuanhua
  • Duan, Lijuan
  • Miao, Jun

Abstract

In this paper, the multistability of almost periodic solution of Clifford-valued Cohen–Grossberg neural networks (CGNNs) with time-varying delays is investigated. Firstly, the positive invariant set of the solutions are given by dividing the regions and inequality technique. Then, the existence and local exponential stability of [∏A(KA+1)]n almost periodic solutions of the delayed Clifford-valued CGNNs are proved by constructing auxiliary function and Lyapunov function. Next, the attraction basins of the almost periodic solutions are given. Finally, a numerical example is given to demonstrate the effectiveness and feasibility of the derived theoretical results.

Suggested Citation

  • Zhang, Yan & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2023. "Multistability of almost periodic solution for Clifford-valued Cohen–Grossberg neural networks with mixed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010019
    DOI: 10.1016/j.chaos.2023.114100
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    References listed on IDEAS

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    1. Tan, Manchun & Liu, Yunfeng & Xu, Desheng, 2019. "Multistability analysis of delayed quaternion-valued neural networks with nonmonotonic piecewise nonlinear activation functions," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 229-255.
    2. Chen, Xiaofeng & Zhao, Zhenjiang & Song, Qiankun & Hu, Jin, 2017. "Multistability of complex-valued neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 18-35.
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