Synchronization and frustration in oscillator networks with attractive and repulsive interactions

Abstract

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.

To appear in Europhys. Lett

References in corpus (1)

• Spectra of "Real-World" Graphs: Beyond the Semi-Circle Law

Cited by in corpus (22)

• The Kuramoto model in complex networks
• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Conformists and contrarians in a Kuramoto model with identical natural frequencies
• Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
• How to suppress undesired synchronization
• Emergent multistability and frustration in phase-repulsive networks of oscillators
• Shear diversity prevents collective synchronization
• Perspective on attractive-repulsive interactions in dynamical networks: progress and future
• Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators
• Effect of repulsive links on frustration in attractively coupled networks
• Volcano transition in a solvable model of oscillator glass
• Dynamics of phase oscillators in the Kuramoto model with generalized frequency-weighted coupling
• Global firing induced by network disorder in ensembles of active rotators
• Correlated disorder in the Kuramoto model: Effects on phase coherence, finite-size scaling, and dynamic fluctuations
• Dynamics of Coupled Adaptive Elements : Bursting and Intermittent Oscillations Generated by Frustration in Networks
• An efficient approach to suppress the negative role of contrarian oscillators in synchronization
• Order-by-disorder in classical oscillator systems
• Emergent dynamics in delayed attractive-repulsively coupled networks
• Discordant synchronization patterns on directed networks of identical phase oscillators with attractive and repulsive couplings
• Adaptation to synchronization in phase-oscillator networks
• Binary Mixtures of Locally Coupled Mobile Oscillators
• Evolutionary design of non-frustrated networks of phase-repulsive oscillators