Synchronization between two discrete-time networks with mutual couplings
type: Item
instance of: scholarly article
title: Synchronization between two discrete-time networks with mutual couplings
zbMATH Open document ID: 1293.93502
DOI: 10.1155/2013/167198
author: Meng Xiao
author: Fangyue Chen
author: Weigang Sun
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93A14
zbMATH DE Number: 6306085
zbMATH Keywords: two discrete-time networks with mutual couplings
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: coupling strengths
zbMATH Keywords: node dynamics
zbMATH Keywords: topological structures
Wikidata QID: Q58915416
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/167198
OpenAlex ID: W2035847150
cites work: Collective dynamics of ‘small-world’ networks
cites work: Emergence of Scaling in Random Networks
cites work: Complex networks: structure and dynamics
cites work: Synchronization via pinning control on general complex networks
cites work: Phase synchronization in complex networks with decayed long-range interactions
cites work: Linear generalized synchronization between two complex networks
cites work: Adaptive lag synchronization for uncertain complex dynamical network with delayed coupling
cites work: A new method to realize cluster synchronization in connected chaotic networks
cites work: Generalized outer synchronization between complex dynamical networks
cites work: Effects of noise on the outer synchronization of two unidirectionally coupled complex dynamical networks
cites work: Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling
cites work: Robust outer synchronization between two complex networks with fractional order dynamics
cites work: Outer synchronization between drive-response networks with nonidentical nodes and unknown parameters
cites work: Anti-synchronization Between Coupled Networks with Two Active Forms
cites work: Synchronization analysis of two coupled complex networks with time delays
Recommended article: Synchronization in discrete-time networks with general pairwise coupling
Recommended article: Q3170956
Recommended article: Synchronization of Discrete-Time Dynamical Networks with Time-Varying Couplings
Recommended article: Synchronization of discrete dynamical networks with non-delayed and delayed coupling
Recommended article: Synchronization and bifurcation analysis in coupled networks of discrete-time systems
Recommended article: Synchronization and its control between two coupled networks
Recommended article: Q3170957
Recommended article: Synchronization of networks with time-varying couplings
Recommended article: Outer synchronization of coupled discrete-time networks
Recommended article: Synchronization of Discrete Time Dynamical Systems†
description: scientific article; zbMATH DE number 6306085