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Synchronization in oscillator networks with delayed coupling: A stability criterion

2003; American Physical Society; Volume: 67; Issue: 3 Linguagem: Inglês

10.1103/physreve.67.036204

1538-4519

Matthew G. Earl, Steven H. Strogatz,

Gene Regulatory Network Analysis

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.