Europhys. Lett.
Volume 72, Number 2, October 2005
Page(s) 190 - 196
Section General
Published online 21 September 2005
Europhys. Lett., 72 (2), pp. 190-196 (2005)
DOI: 10.1209/epl/i2005-10238-4

Synchronization and frustration in oscillator networks with attractive and repulsive interactions

D. H. Zanette

Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro - 8400 Bariloche, Río Negro, Argentina

received 30 June 2005; accepted in final form 31 August 2005
published online 21 September 2005

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.

05.65.+b - Self-organized systems.
05.45.Xt - Synchronization; coupled oscillators.

© EDP Sciences 2005