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

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

2010-11-12

arxiv.org/abs/1011.2967v1

Prog. Theor. Phys. 126 (2011), 353-368

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1143/PTP.126.353

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.

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