A graph approach to synchronization in complex networks of asymmetrically nonlinear coupled dynamical systems

DOI10.1112/JLMS/JDQ096zbMath1223.34079OpenAlexW1996681809MaRDI QIDQ3004917

Suh-Yuh Yang, Chun-Hsien Li

Publication date: 6 June 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdq096

zbMATH Keywords

exponential synchronizationasymmetric couplingFitzHugh-NagumoHindmarsh-Rose neuronsgraph approach

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Global stability of solutions to ordinary differential equations (34D23) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (7)

A novel approach to synchronization of nonlinearly coupled network systems with delays ⋮ Exact synchronization and asymptotic synchronization for linear ODEs ⋮ Effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh-Rose neurons ⋮ Eventual dissipativeness and synchronization of nonlinearly coupled dynamical network of Hindmarsh-Rose neurons ⋮ Error and attack tolerance of synchronization in Hindmarsh-Rose neural networks with community structure ⋮ Minimal time control of exact synchronization for parabolic systems ⋮ Bounded synchronisation of a time-varying dynamical network with nonidentical nodes

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