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The pseudo almost periodic solutions of the new class of Lotka–Volterra recurrent neural networks with mixed delays

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  • Amdouni, Manel
  • Chérif, Farouk

Abstract

This paper is concerned with the dynamics and oscillations of a new class of Lotka-Volterra recurrent neutral networks. We obtain results on the existence and uniqueness of the pseudo almost periodic solution under some sufficient and proper conditions. In addition, the asymptotic and exponential stability of the pseudo almost periodic solutions are investigated. Finally, two numerical examples with their simulations are presented to support our theoretical results.

Suggested Citation

  • Amdouni, Manel & Chérif, Farouk, 2018. "The pseudo almost periodic solutions of the new class of Lotka–Volterra recurrent neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 79-88.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:79-88
    DOI: 10.1016/j.chaos.2018.05.004
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    Cited by:

    1. Manel Amdouni & Jehad Alzabut & Mohammad Esmael Samei & Weerawat Sudsutad & Chatthai Thaiprayoon, 2022. "A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation," Mathematics, MDPI, vol. 10(19), pages 1-18, October.
    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. Abdelaziz, Meryem & Chérif, Farouk, 2020. "Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen–Grossberg neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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