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

Shang Gao; Haihua Guo; Tianrui Chen

doi:10.1016/j.physa.2019.04.112

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

Shang Gao
, Haihua Guo
, Tianrui Chen

Division of Business and Hospitality Management (BHM)

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Article number	120876
Journal	Physica A: Statistical Mechanics and its Applications
Volume	526
DOIs	https://doi.org/10.1016/j.physa.2019.04.112
Publication status	Published - 15 Jul 2019

Keywords

Coincidence degree theory
Discrete-time coupled systems
Graph theory
Periodic solutions
Time-varying delay

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10.1016/j.physa.2019.04.112

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

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.",

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AU - Gao, Shang

AU - Guo, Haihua

AU - Chen, Tianrui

PY - 2019/7/15

Y1 - 2019/7/15

N2 - 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.

AB - 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.

KW - Coincidence degree theory

KW - Discrete-time coupled systems

KW - Graph theory

KW - Periodic solutions

KW - Time-varying delay

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VL - 526

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 120876

ER -

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

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Keywords

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