Synchronization and frustration in oscillator networks with attractive and repulsive interactions

Details Synchronization and frustration in oscillator networks with attractive and repulsive interactions Synchronization and frustration in oscillator networks with attractive and repulsive interactions

2005-09-02

arxiv.org/abs/cond-mat/0509063v1

Physics

Condensed Matter

Statistical Mechanics

To appear in Europhys. Lett

Scientific paper

10.1209/epl/i2005-10238-4

We study, numerically and analytically, the stability of synchronization for an ensemble of coupled phase oscillators with attractive and repulsive interactions, as a function of the number of repulsive couplings and their intensity. Scaling properties of the desynchronization transition are disclosed, and it is shown that unsynchronized configurations have different symmetries depending on the intensity of the repulsive interaction. The concept of frustration minimization helps understanding the main features observed in the collective dynamics of the oscillator network.

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