On the synchronization theory of Kuramoto oscillators under the effect of inertia
Chun-Hsiung Hsia, Chang-Yeol Jung, Bongsuk Kwon
TL;DR
This paper develops a synchronization theory for Kuramoto oscillators with inertia, analyzing both frequency and phase synchronization, and demonstrates unconditional frequency synchronization in a three-oscillator nonidentical case.
Contribution
It introduces a general synchronization framework for inertial Kuramoto oscillators and proves unconditional frequency synchronization for three nonidentical oscillators.
Findings
Unconditional frequency synchronization for three nonidentical oscillators.
Analysis of both frequency and phase synchronization.
Development of a general synchronization theory for inertial oscillators.
Abstract
We investigate the synchronized collective behavior of the Kuramoto oscillators with inertia effect. Both the frequency synchronization for nonidentical case and the phase synchronization for identical case are in view. As an application of our general theory, we show the unconditional frequency synchronization for the three-nonidentical-oscillator case.
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