Global synchronization in complex networks consisted of systems with the property of \(x_{k}\)-leading asymptotic stability

DOI10.1016/J.PHYSLETA.2008.01.047zbMath1220.34075OpenAlexW2044600994MaRDI QIDQ637673

Sun Wen, Changping Wang, Shi-hua Chen

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.047

zbMATH Keywords

global synchronizationLasalle invariance principle\(x_{k}\)-leading asymptotic stability

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (4)

Cluster synchronization in the adaptive complex dynamical networks via a novel approach ⋮ Fixed-time synchronization for hybrid coupled dynamical networks with multilinks and time-varying delays ⋮ Input and output passivity of complex dynamical networks with general topology ⋮ Adaptive synchronization in an array of chaotic neural networks with mixed delays and jumping stochastically hybrid coupling

Cites Work

• New criteria for synchronization stability of general complex dynamical networks with coupling delays
• Global chaos synchronization with channel time-delay
• Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay
• New approach to synchronization analysis of linearly coupled ordinary differential systems
• Synchronization in networks of nonlinear dynamical systems coupled via a directed graph
• Statistical mechanics of complex networks
• Synchronization in an array of linearly coupled dynamical systems
• Synchronization in chaotic systems
• A time-varying complex dynamical network model and its controlled synchronization criteria
• Collective dynamics of ‘small-world’ networks
• Exploring complex networks

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