Title
Epidemic Self-Synchronization in Complex Networks of Kuramoto oscillators
Abstract
In this article, we present and evaluate an epidemic scheme for the synchronization of coupled Kuramoto oscillators in communication networks. It addresses the problem of efficiently providing globally synchronous time epochs in complex, dynamic Peer-to-Peer network topologies. Rather than the usual model of continuously coupled nodes, a discretized version with sporadic message-based couplings to nearest neighbors is considered. This article empirically studies the emergence of coherent oscillator states for different network topologies, coupling functions, and sporadic coupling intensities. It further investigates the protocol's minimum bandwidth requirements in small-world network topologies. Synchronization resilience under the effect of random perturbations is studied for two coupling variations. Finally, the potential utilization of the scheme for a local inference of global network topology characteristics is discussed.
Year
DOI
Venue
2010
10.1142/S0219525910002426
ADVANCES IN COMPLEX SYSTEMS
Keywords
Field
DocType
Nonlinear oscillators,Kuramoto model,complex communication networks
Network formation,Synchronization,Coupling,Telecommunications network,Synchronization networks,Network topology,Kuramoto model,Complex network,Artificial intelligence,Machine learning,Mathematics,Distributed computing
Journal
Volume
Issue
ISSN
13
1
0219-5259
Citations 
PageRank 
References 
2
0.39
0
Authors
4
Name
Order
Citations
PageRank
Ingo Scholtes128826.66
Jean Botev212313.55
Markus Esch315612.90
Peter Sturm42696206.38