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Multistability of equilibria for Clifford-valued Cohen–Grossberg neural networks with discontinuous activation functions and time delays

Author

Listed:
  • Yang, Qiuyan
  • Qiao, Yuanhua
  • Duan, Lijuan
  • Miao, Jun

Abstract

In this paper, the multistability of Clifford-valued Cohen–Grossberg neural networks(CGNNs) model with time-varying delays and discontinuous activation function is investigated. Firstly, the existence of equilibrium points is explored, and it is found that there exist ∏A(4KA+1)n equilibrium points by deriving some sufficient conditions and Intermediate Value Theorem, and then the positive invariant is given. Next, we investigate the local stability of those multiple equilibrium points (EPs), which shows that there are ∏A(2KA+1)n locally asymptotically stable equilibrium points. Moreover, the attraction basins of the stable EPs in CGNNs are estimated and enlarged. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Yang, Qiuyan & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2026. "Multistability of equilibria for Clifford-valued Cohen–Grossberg neural networks with discontinuous activation functions and time delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 245(C), pages 428-446.
    • Handle: RePEc:eee:matcom:v:245:y:2026:i:c:p:428-446
    DOI: 10.1016/j.matcom.2025.12.015
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