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Stability analysis of pseudo almost periodic solutions for octonion-valued recurrent neural networks with proportional delay

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  • Gao, Jin
  • Dai, Lihua
  • Jiang, Hongying

Abstract

Considering the effect of the proportional delay, this paper deals with a class of octonion-valued recurrent neural networks with proportional delay. We do not need to decompose the octonion-valued recurrent neural networks into real-valued neural networks because the multiplication of octonion algebras does not satisfy the associativity and commutativity. We obtain several sufficient conditions for the existence and local exponential stability of pseudo almost periodic solutions for octonion-valued recurrent neural networks with proportional delay by using the Banach fixed point theorem, the non-decomposition method, and the Lyapunov function method. Finally, one example will be given to verify the obtained theoretical results.

Suggested Citation

  • Gao, Jin & Dai, Lihua & Jiang, Hongying, 2023. "Stability analysis of pseudo almost periodic solutions for octonion-valued recurrent neural networks with proportional delay," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009621
    DOI: 10.1016/j.chaos.2023.114061
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    References listed on IDEAS

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    1. Huang, Chuangxia & Su, Renli & Cao, Jinde & Xiao, Songlin, 2020. "Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 127-135.
    2. Weide Liu & Jianliang Huang & Qinghe Yao, 2021. "Stability Analysis of Pseudo-Almost Periodic Solution for a Class of Cellular Neural Network with D Operator and Time-Varying Delays," Mathematics, MDPI, vol. 9(16), pages 1-24, August.
    3. Huang, Chuangxia & Liu, Bingwen & Qian, Chaofan & Cao, Jinde, 2021. "Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1150-1163.
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