Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach

Tianrui Chen; Ruisong Wang; Boying Wu

doi:10.1016/j.neucom.2016.09.097

Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach

Tianrui Chen
, Ruisong Wang
, Boying Wu^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

10 Scopus citations

Abstract

In this paper, we present mainly the analysis of synchronization of multi-group coupled systems on networks with reaction-diffusion terms (MCSNRTs). Specially, we provide a novel graph-theoretic approach which is very helpful in the respect of constructing a global Lyapunov function. Then, based on graph-theoretic approach and Lyapunov method, two kinds of sufficient criteria that one is Lyapunov-type theorem and the other is coefficient-type theorem are acquired to guarantee the synchronization of MCSNRTs. Finally, a numerical example is offered to demonstrate the practicability and effectiveness of our main results.

Original language	English
Pages (from-to)	54-63
Number of pages	10
Journal	Neurocomputing
Volume	227
DOIs	https://doi.org/10.1016/j.neucom.2016.09.097
State	Published - 1 Mar 2017

Keywords

Graph theory
Multi-group coupled systems
Reaction-diffusion terms
Synchronization

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10.1016/j.neucom.2016.09.097

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title = "Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach",

abstract = "In this paper, we present mainly the analysis of synchronization of multi-group coupled systems on networks with reaction-diffusion terms (MCSNRTs). Specially, we provide a novel graph-theoretic approach which is very helpful in the respect of constructing a global Lyapunov function. Then, based on graph-theoretic approach and Lyapunov method, two kinds of sufficient criteria that one is Lyapunov-type theorem and the other is coefficient-type theorem are acquired to guarantee the synchronization of MCSNRTs. Finally, a numerical example is offered to demonstrate the practicability and effectiveness of our main results.",

keywords = "Graph theory, Multi-group coupled systems, Reaction-diffusion terms, Synchronization",

author = "Tianrui Chen and Ruisong Wang and Boying Wu",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.neucom.2016.09.097",

language = "英语",

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TY - JOUR

T1 - Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach

AU - Chen, Tianrui

AU - Wang, Ruisong

AU - Wu, Boying

PY - 2017/3/1

Y1 - 2017/3/1

N2 - In this paper, we present mainly the analysis of synchronization of multi-group coupled systems on networks with reaction-diffusion terms (MCSNRTs). Specially, we provide a novel graph-theoretic approach which is very helpful in the respect of constructing a global Lyapunov function. Then, based on graph-theoretic approach and Lyapunov method, two kinds of sufficient criteria that one is Lyapunov-type theorem and the other is coefficient-type theorem are acquired to guarantee the synchronization of MCSNRTs. Finally, a numerical example is offered to demonstrate the practicability and effectiveness of our main results.

AB - In this paper, we present mainly the analysis of synchronization of multi-group coupled systems on networks with reaction-diffusion terms (MCSNRTs). Specially, we provide a novel graph-theoretic approach which is very helpful in the respect of constructing a global Lyapunov function. Then, based on graph-theoretic approach and Lyapunov method, two kinds of sufficient criteria that one is Lyapunov-type theorem and the other is coefficient-type theorem are acquired to guarantee the synchronization of MCSNRTs. Finally, a numerical example is offered to demonstrate the practicability and effectiveness of our main results.

KW - Graph theory

KW - Multi-group coupled systems

KW - Reaction-diffusion terms

KW - Synchronization

UR - https://www.scopus.com/pages/publications/85006967068

U2 - 10.1016/j.neucom.2016.09.097

DO - 10.1016/j.neucom.2016.09.097

M3 - 文章

AN - SCOPUS:85006967068

SN - 0925-2312

VL - 227

SP - 54

EP - 63

JO - Neurocomputing

JF - Neurocomputing

ER -

Synchronization of multi-group coupled systems on networks with reaction-diffusion terms based on the graph-theoretic approach

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Keywords

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