Title
Adaptive Control Of Synchronization In Delay-Coupled Heterogeneous Networks Of Fitzhugh-Nagumo Nodes
Abstract
We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. We show that an adaptive tuning of the overall coupling strength can be used to counteract the effect of the heterogeneity. Our adaptive controller is demonstrated on ring networks of FitzHugh-Nagumo systems which are paradigmatic for excitable dynamics but can also - depending on the system parameters - exhibit self-sustained periodic firing. We show that the adaptively tuned time-delayed coupling enables synchronization even if parameter heterogeneities are so large that excitable nodes coexist with oscillatory ones.
Year
DOI
Venue
2016
10.1142/S0218127416500589
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Complex networks, synchronization, control, delay, heterogeneities
Synchronization,Control theory,Coupling,Control theory,Computer science,Complex network,Heterogeneous network,Adaptive control,Artificial neural network,Periodic graph (geometry)
Journal
Volume
Issue
ISSN
26
4
0218-1274
Citations 
PageRank 
References 
1
0.37
0
Authors
4
Name
Order
Citations
PageRank
Sergei Plotnikov111.04
J. Lehnert210.70
Alexander L. Fradkov345078.94
E. Schöll4156.57