Star network synchronization led by strong coupling-induced frequency squeezing

TL;DR

This paper investigates a star network of oscillators where strong coupling induces frequency squeezing, leading to synchronization of the system's components through dissipative and squeezed modes.

Contribution

It introduces a model of a star network with a central oscillator coupled to a reservoir, revealing how strong coupling causes frequency squeezing and synchronization.

Findings

Two normal modes are dissipative.

Remaining modes become increasingly squeezed with stronger coupling.

Synchronization emerges through frequency squeezing and dissipation.

Abstract

We consider a star network consisting of N oscillators coupled to a central one which in turn is coupled to an infinite set of oscillators (reservoir), which makes it leaking. Two of the N + 1 normal modes are dissipating, while the remaining N - 1 lie in a frequency range which is more and more squeezed as the coupling strengths increase, which realizes synchronization of the single parts of the system.