Title: Networks of diffusively time-delay coupled systems: Conditions for synchronization and its relation to the network topology
Authors: Steur, Erik ×
Michiels, Wim
Huijberts, Henri
Nijmeijer, Henk #
Issue Date: Mar-2014
Publisher: North-Holland
Series Title: Physica D, Nonlinear Phenomena vol:277 pages:22-39
Article number: S0167-2789(14)00053-0
Abstract: We consider networks of time-delayed diffusively coupled systems and relate conditions for synchronization of the systems in the network to the topology of the network. First we present sufficient conditions for the solutions of the time-delayed coupled systems to be bounded. Next we give conditions for local synchronization and we show that the values of the coupling strength and time-delay for which there is local synchronization in any network can be determined from these conditions. In addition we present results on global synchronization in relation to the network topology for networks of a class of nonlinear systems. We illustrate our results with examples of synchronization in networks with FitzHugh-Nagumo model neurons and Hindmarsh–Rose neurons.
ISSN: 0167-2789
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Laboratory for Experimental Psychology
NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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