A three-modes Kuramoto network in a single nonlinear microelectromechanical device

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 interact with each other 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.