Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D3L-D
Session:
Number:D3L-D4
Cluster Synchronization, Desynchronization, and Symmetries in Complex Networks of Oscillators
Louis Pecora, Francesco Sorrentino, Aaron Hagerstrom, Thomas Murphy, Rajarshi Roy,
pp.886-889
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Exact synchronization of oscillators is important in many types of networks, e.g. power distribution, telecommunication, neuronal and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these clusters or understand the conditions under which they form. Here we develop techniques for using mathematical group theory for the analysis of network dynamics that shows the connection between network symmetries and cluster formation. We confirm our results experimentally. We observe a surprising phenomenon in which some clusters lose synchrony without disturbing the others. Our analysis is general in that such behavior will occur in a wide variety of networks and node dynamics. The results could lead to new understanding of the dynamical behavior of networks ranging from neural to social.