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

Shang Gao, Haihua Guo and Tianrui Chen

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

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.

Keywords: Periodic solutions; Discrete-time coupled systems; Time-varying delay; Coincidence degree theory; Graph theory (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304911

DOI: 10.1016/j.physa.2019.04.112

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