Dependence of synchronization frequency of Kuramoto oscillators on symmetry of intrinsic frequency in ring network

Pramana

R E Amritkar²  Arindam Saha1¹ 

[1] Department of Physical Sciences, Indian Institute of Science Education and Research, Kolkata 741 252, India$$;Department of Theoretical Physics, Physical Research Laboratory, Ahmedabad 380 009, India$$

关键词: Kuramoto;    synchronization;    asymmetry;    frequency distribution.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Kuramoto oscillators have been proposed earlier as a model for interacting systems that exhibit synchronization. In this article, we study the difference between networks with symmetric and asymmetric distribution of natural frequencies. We first indicate that synchronization frequency of oscillators in a completely connected network is always equal to the mean of the natural frequency distribution. In particular, shape of the natural frequency distribution does not affect the synchronization frequency in this case. Then, we analyse the case of oscillators in a directed ring network, where asymmetry in the natural frequency distribution is seen to shift the synchronization frequency of the network. We also present an estimate of the shift in the frequencies for slightly asymmetric distributions.

【 授权许可】

Unknown