Phys. Rev. E 67, 036204 (2003) [4 pages]Synchronization in oscillator networks with delayed coupling: A stability criterionReceived 22 January 2002; revised 4 December 2002; published 17 March 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.036204
DOI:
10.1103/PhysRevE.67.036204
PACS:
05.45.Xt, 02.30.Ks, 87.10.+e
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