Title
Epidemic Self-synchronization in Complex Networks
Abstract
In this article we present and evaluate an epidemic algorithm for the synchronization of coupled Kuramoto oscillators in complex network topologies. The algorithm addresses the problem of providing a global, synchronous notion of time in complex, dynamic Peer-to-Peer topologies. For this it requires a periodic coupling of nodes to a single random one-hop-neighbor. The strength of the nodes' couplings is given as a function of the degrees of both coupling partners. We study the emergence of self-synchronization and the resilience against node failures for different coupling strength functions and network topologies. For Watts/Strogatz networks, we observe critical behavior suggesting that small-world properties of the underlying topology are crucial for self-synchronization to occur. From simulations on networks under the effect of churn, we draw the conclusion that special coupling functions can be used to enhance synchronization resilience in power-law Peer-to-Peer topologies.
Year
DOI
Venue
2009
10.1007/978-3-642-02469-6_56
Lecture Notes of the Institute for Computer Sciences Social Informatics and Telecommunications Engineering
Keywords
Field
DocType
Self-Synchronization,Networks,Coupled Oscillators,Kuramoto Model,Peer-to-Peer
Psychological resilience,Synchronization,Coupling,Peer-to-peer,Network topology,Kuramoto model,Complex network,Periodic graph (geometry),Mathematics,Distributed computing
Conference
Volume
ISSN
Citations 
5
1867-8211
7
PageRank 
References 
Authors
0.57
9
4
Name
Order
Citations
PageRank
Ingo Scholtes128826.66
Jean Botev212313.55
Markus Esch315612.90
Peter Sturm42696206.38