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Synchronisation in networks of delay-coupled type-I excitable systems

DSpace at IIT Bombay

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Title Synchronisation in networks of delay-coupled type-I excitable systems
 
Creator KEANE, A
DAHMS, T
LEHNERT, J
SURYANARAYANA, SA
HOVEL, P
SCHOLL, E
 
Subject SMALL-WORLD NETWORKS
COMPLEX NETWORKS
CORTICAL AREAS
DYNAMICS
CONNECTIVITY
LATTICES
 
Description We use a generic model for type-I excitability (known as the SNIPER or SNIC model) to describe the local dynamics of nodes within a network in the presence of non-zero coupling delays. Utilising the method of the Master Stability Function, we investigate the stability of the zero-lag synchronised dynamics of the network nodes and its dependence on the two coupling parameters, namely the coupling strength and delay time. Unlike in the FitzHugh-Nagumo model (a model for type-II excitability), there are parameter ranges where the stability of synchronisation depends on the coupling strength and delay time. One important implication of these results is that there exist complex networks for which the adding of inhibitory links in a small-world fashion may not only lead to a loss of stable synchronisation, but may also restabilise synchronisation or introduce multiple transitions between synchronisation and desynchronisation. To underline the scope of our results, we show using the Stuart-Landau model that such multiple transitions do not only occur in excitable systems, but also in oscillatory ones.
 
Publisher SPRINGER
 
Date 2014-10-16T06:45:40Z
2014-10-16T06:45:40Z
2012
 
Type Article
 
Identifier EUROPEAN PHYSICAL JOURNAL B, 85(12)
http://dx.doi.org/10.1140/epjb/e2012-30810-x
http://dspace.library.iitb.ac.in/jspui/handle/100/15468
 
Language en