Energy flow and dissipation in heterogeneous ensembles of coupled phase oscillators

TL;DR

This paper derives analytical and numerical insights into energy exchange and dissipation in heterogeneous ensembles of coupled phase oscillators, revealing how individual parameters influence power transfer.

Contribution

It provides new analytical expressions and numerical analysis for energy flow in heterogeneous oscillator ensembles under external excitation, coupling, and friction.

Findings

Energy exchange rates depend nontrivially on oscillator parameters.

Power transfer can be manipulated by choosing individual moments of inertia and friction.

Three dynamical regimes with different entrainment levels are characterized.

Abstract

We present analytical expressions and numerical results for the rates of energy exchange between oscillators and with the environment in a heterogeneous ensemble of globally coupled mechanical phase oscillators. The system is in stationary motion under the combined action of an external harmonic excitation, coupling, and friction. Individual moments of inertia and friction coefficients are different between oscillators. Three dynamical regimes, with different degrees of entrainment with the external excitation, are characterized. In two of these regimes, the rates of energy exchange show nontrivial dependence on the moments of inertia and friction coefficients, suggesting that the transfer of power between different parts of the ensemble can be manipulated by a convenient choice of the individual parameters.