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
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923010019
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010019
DOI: 10.1016/j.chaos.2023.114100
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().