Synchronisation Induced by Repulsive Interactions in a System of van der Pol Oscillators

Abstract

We consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two points of view. Firstly, we will investigate the role of competitive interactions on the synchronisation among identical oscillators. Then, we will show that the presence of an intermediate fraction of repulsive links results in the appearance of macroscopic oscillations at that signal's rhythm, in regions where the individual oscillator is unable to synchronise with a weak external signal.

References in corpus (4)

• Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions
• Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder
• Collective effects induced by diversity in extended systems
• Phase and frequency entrainment in locally coupled phase oscillators with repulsive interactions

Cited by in corpus (4)

• Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
• Distance dependent competitive interactions in a frustrated network of mobile agents
• Perspective on attractive-repulsive interactions in dynamical networks: progress and future
• Effect of repulsive links on frustration in attractively coupled networks