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arXiv · 1712.10111

On the synchronization theory of Kuramoto oscillators under the effect of inertia

Chun-Hsiung Hsia·Chang-Yeol Jung·Bongsuk Kwon
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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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Chun-Hsiung Hsia, Chang-Yeol Jung, Bongsuk Kwon. 2017-12-29. On the synchronization theory of Kuramoto oscillators under the effect of inertia. https://arxiv.org/abs/1712.10111

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