Phase synchronization between collective rhythms of fully locked oscillator groups

TL;DR

This paper investigates how groups of fully synchronized oscillators can synchronize their collective rhythms, revealing that macroscopic synchronization patterns can differ from microscopic coupling behaviors.

Contribution

The study analytically derives the collective phase coupling function for fully locked oscillator groups and shows the possibility of anti-phase synchronization despite in-phase microscopic coupling.

Findings

Groups can exhibit anti-phase collective synchronization despite in-phase microscopic coupling

Analytical derivation of the collective phase coupling function

Demonstration of counterintuitive synchronization patterns

Abstract

We study the phase synchronization between collective rhythms of fully locked oscillator groups. For weakly interacting groups of two oscillators with global sinusoidal coupling, we analytically derive the collective phase coupling function, which determines the dynamics of the collective phase difference between the groups. We demonstrate that the groups can exhibit anti-phase collective synchronization in spite of microscopic in-phase external coupling and vice versa.