Travelling Wave in the Generalized Kuramoto Model with Inertia

doi:10.1088/0256-307X/33/5/050502

Chin. Phys. Lett.

2016, Vol. 33

Issue (05): 050502 DOI: 10.1088/0256-307X/33/5/050502

GENERAL

Travelling Wave in the Generalized Kuramoto Model with Inertia

Di Yuan^1**, 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

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Di Yuan, Dong-Qiu Zhao, Yi Xiao et al 2016 Chin. Phys. Lett. 33 050502

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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.

Received: 17 December 2015 Published: 31 May 2016

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	89.75.-k	(Complex systems)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/33/5/050502 OR https://cpl.iphy.ac.cn/Y2016/V33/I05/050502

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	Di Yuan
	Dong-Qiu Zhao
	Yi Xiao
	Ying-Xin Zhang

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