Synchronization in oscillator networks with delayed coupling: a stability criterion.
We derive a stability criterion for the synchronous state in networks of identical phase oscillators with delayed coupling. The criterion applies to any network (whether regular or random, low dimensional or high dimensional, directed or undirected) in which each oscillator receives delayed signals from k others, where k is uniform for all oscillators.
Earl
Matthew G
MG
Department of Theoretical and Applied Mechanics, 212 Kimball Hall, Cornell University, Ithaca, New York 14853-1503, USA. mge1@cornell.edu
Strogatz
Steven H
SH