The existence of periodic solutions for coupled systems on networks with time delays

Xinhong Zhang; Wenxue Li; Ke Wang

doi:10.1016/j.neucom.2014.10.067

The existence of periodic solutions for coupled systems on networks with time delays

Xinhong Zhang
, Wenxue Li^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
China University of Petroleum (East China)

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

12 Scopus citations

Abstract

This paper is concerned with the existence of periodic solutions for coupled systems on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov method, a systematic approach for the existence of periodic solutions to CSND is developed. We apply this approach to a coupled system of nonlinear oscillators with time delays and obtain the existence of periodic solutions. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.

Original language	English
Pages (from-to)	287-293
Number of pages	7
Journal	Neurocomputing
Volume	152
DOIs	https://doi.org/10.1016/j.neucom.2014.10.067
State	Published - 25 Mar 2015
Externally published	Yes

Keywords

Coincidence degree theory
Coupled systems on networks
Graph theory
Periodic solutions

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10.1016/j.neucom.2014.10.067

Cite this

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title = "The existence of periodic solutions for coupled systems on networks with time delays",

abstract = "This paper is concerned with the existence of periodic solutions for coupled systems on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov method, a systematic approach for the existence of periodic solutions to CSND is developed. We apply this approach to a coupled system of nonlinear oscillators with time delays and obtain the existence of periodic solutions. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.",

keywords = "Coincidence degree theory, Coupled systems on networks, Graph theory, Periodic solutions",

author = "Xinhong Zhang and Wenxue Li and Ke Wang",

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year = "2015",

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AU - Zhang, Xinhong

AU - Li, Wenxue

AU - Wang, Ke

PY - 2015/3/25

Y1 - 2015/3/25

N2 - This paper is concerned with the existence of periodic solutions for coupled systems on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov method, a systematic approach for the existence of periodic solutions to CSND is developed. We apply this approach to a coupled system of nonlinear oscillators with time delays and obtain the existence of periodic solutions. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.

AB - This paper is concerned with the existence of periodic solutions for coupled systems on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov method, a systematic approach for the existence of periodic solutions to CSND is developed. We apply this approach to a coupled system of nonlinear oscillators with time delays and obtain the existence of periodic solutions. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.

KW - Coincidence degree theory

KW - Coupled systems on networks

KW - Graph theory

KW - Periodic solutions

UR - https://www.scopus.com/pages/publications/84921064665

U2 - 10.1016/j.neucom.2014.10.067

DO - 10.1016/j.neucom.2014.10.067

M3 - 文章

AN - SCOPUS:84921064665

SN - 0925-2312

VL - 152

SP - 287

EP - 293

JO - Neurocomputing

JF - Neurocomputing

ER -

The existence of periodic solutions for coupled systems on networks with time delays

Abstract

Keywords

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