A Kuramoto Network in a Single Nonlinear Microelectromechanical Device

TL;DR

This paper demonstrates a Kuramoto-like network within a single nonlinear MEMS device, using multimode resonator limit cycles to emulate phase oscillator interactions without external coupling.

Contribution

It introduces a novel all-to-all coupled Kuramoto network realized entirely within a single microelectromechanical device, avoiding external electrical or optical interconnects.

Findings

Successfully implements a Kuramoto network in a single MEMS device.

Achieves all-to-all coupling through stress tuning of limit cycles.

Operates without requiring specific frequency ratios or external coupling mechanisms.

Abstract

This work presents a frequency multiplexed 3-limit cycles network in a multimode microelectromechanical nonlinear resonator. The network is composed of libration limit cycles and behaves in an analogous manner to a phase oscillator network. The libration limit cycles, being of low frequency, interact through the stress tuning of the resonator, and result in an all-to-all coupling that can be described by a Kuramoto model. Beyond the typically present cubic nonlinearity the modes in question do not require any special frequency ratios. Thus an interconnect free Kuramoto network is established within a single physical device without the need for electrical or optical coupling mechanisms between the individual elements.