  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.
