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

Yan Zhang, Yuanhua Qiao, Lijuan Duan and Jun Miao

Chaos, Solitons & Fractals, 2023, vol. 176, issue C

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.

Keywords: Multistability; Clifford-valued Cohen–Grossberg neural networks; Almost periodic solutions; Existence; Exponential stability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010019

DOI: 10.1016/j.chaos.2023.114100

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