Travelling Wave in the Generalized Kuramoto Model with Inertia
Di Yuan1**, Dong-Qiu Zhao1, Yi Xiao2, Ying-Xin Zhang3
1School of Physics and Electrical Engineering, Anyang Normal University, Anyang 455000 2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 3Students' Affairs Division, Henan Vocational College of Nursing, Anyang 455000
Abstract：We study the dynamics of the generalized Kuramoto model with inertia, in which oscillators with positive coupling strength are conformists and oscillators with negative coupling strength are contrarians. By numerically simulating the model, we find that the model supports a modulated travelling wave state except for already displayed travelling wave states and $\pi$ state in previous literature. The modulated travelling wave state may be characterized by the phase distributions of oscillators. Finally, the modulated travelling wave state and the travelling wave state of the model in the parameter space are presented.
. [J]. 中国物理快报, 2016, 33(05): 50502-050502.
Di Yuan, Dong-Qiu Zhao, Yi Xiao, Ying-Xin Zhang. Travelling Wave in the Generalized Kuramoto Model with Inertia. Chin. Phys. Lett., 2016, 33(05): 50502-050502.
2016, Vol. 33 
