Routes to synchrony between asymmetrically interacting oscillator ensembles

TL;DR

This paper explores how asymmetrical interactions between oscillator groups lead to unique synchronization pathways, influenced by phase asymmetry and resilient to noise, providing new insights into controlling synchrony.

Contribution

It introduces novel routes to synchrony specific to asymmetrically coupled oscillator ensembles, highlighting the role of phase asymmetry and noise effects.

Findings

Routes to synchrony are characteristic of coupling asymmetry.

White noise shifts entrainment frequencies but does not alter routes.

Phase asymmetry determines the likelihood of different synchronization routes.

Abstract

We report that asymmetrically interacting ensembles of oscillators (AIEOs) follow novel routes to synchrony. These routes seem to be a characteristic feature of coupling asymmetry. We show that they are unaffected by white noise except that the entrainment frequencies are shifted. The probability of occurrence of the routes is determined by phase asymmetry. The identification of these phenomena offers new insight into synchrony between oscillator ensembles and suggest new ways in which it may be controlled.