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The existence of periodic solutions for discrete-time coupled systems on networks with time-varying delay

Author

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  • Gao, Shang
  • Guo, Haihua
  • Chen, Tianrui

Abstract

This paper deals with the existence of periodic solutions for discrete-time coupled systems on networks with time-varying delay (DCSNTD). Based on coincidence degree theory, graph theory, and Lyapunov method, a systematic method is given to study the existence of periodic solutions for DCSNTD. A Lyapunov-type theorem and a coefficient-type criterion are derived, respectively. Furthermore, we apply this novel approach to research the existence of periodic solutions for discrete-time coupled oscillators with time-varying delay. Finally, a numerical simulation is presented to illustrate the effectiveness and feasibility of our results.

Suggested Citation

  • Gao, Shang & Guo, Haihua & Chen, Tianrui, 2019. "The existence of periodic solutions for discrete-time coupled systems on networks with time-varying delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304911
    DOI: 10.1016/j.physa.2019.04.112
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    Cited by:

    1. Rui Kang & Shang Gao, 2022. "Stabilization for Stochastic Coupled Kuramoto Oscillators via Nonlinear Distributed Feedback Control," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    2. Gao, Shang & Peng, Keyu & Zhang, Chunrui, 2021. "Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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