The Kuramoto model has been studied to investigate the synchronization behavior of coupled oscillators. It is also applied in widely scientific disciplines such as physics, biology, networks etc. In this talk, we consider the Kuramoto model with effects of inertia and damping coefficients. We shall present the theoretical result for frequency synchronization via analyzing the dynamics of phase difference.

 

Reference:

 

[1] Hsia, Chun-Hsiung and Jung, Chang-Yeol and Kwon, Bongsuk, On the synchronization theory of Kuramoto oscillators under the effect of inertia, J. Differential Equations 267 (2019), no.2, 742–775

[2] Chen, Shih-Hsin and Hsia Chun-Hsiung and Moon, Sunghwan, On synchronization analysis of non-uniformly coupled Kuramoto oscillators under the effect of non-uniform inertia and dampling, preprint