Partially Locked States in Coupled Oscillators due to Inhomogeneous Coupling

TL;DR

This paper explores how inhomogeneous coupling in scale-free networks of identical oscillators leads to partially locked states, with theoretical analysis matching simulation results.

Contribution

It introduces a self-consistency method to analyze partially locked states caused by inhomogeneous coupling in coupled oscillators.

Findings

Partially locked states arise due to coupling inhomogeneity.

Theoretical predictions align well with simulation data.

Inhomogeneous coupling influences synchronization patterns.

Abstract

We investigate coupled identical phase oscillators with scale-free distribution of coupling strength. It is shown that partially locked states can occur due to the inhomogeneity in coupling and some properties of the coupling function. Various quantities of the partially locked states are computed through a self-consistency argument and the values show good agreement with simulation results.