Global phase-locking in finite populations of phase-coupled oscillators

Details Global phase-locking in finite populations of phase-coupled oscillators Global phase-locking in finite populations of phase-coupled oscillators

2007-09-11

arxiv.org/abs/0709.1558v1

Mathematics

Dynamical Systems

31 pages; to appear in SIAM journal of dynamical systems (SIADS)

Scientific paper

10.1137/070686858

We present new necessary and sufficient conditions for the existence of fixed
points in a finite system of coupled phase oscillators on a complete graph. We
use these conditions to derive bounds on the critical coupling.

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