Modelling mean fields in networks of coupled oscillators

JOURNAL OF GEOMETRY AND PHYSICS

卷:124

Article

Jacimovic, Vladimir¹  Crnkic, Aladin^1,2 

[1] Univ Montenegro, Fac Nat Sci & Math, Cetinjski Put Bb, Podgorica 81000, Montenegro

[2] Univ Bihac, Fac Tech Engn, Ljubijankiceva Bb, Bihac 77000, Bosnia & Herceg

关键词: Kuramoto model;    Mean field;    Mobius transformation;    Cross ratio;    Complex network;   

DOI  :  10.1016/j.geomphys.2017.11.009

来源: Elsevier

【 摘 要 】

We present the mathematical model of mean fields in complex networks of identical Kuramoto oscillators. In this framework, mean fields in the network are represented by the set of points in the unit disc with hyperbolic metric (Poincare disc model). This set of points characterizes the network topology. The simulations for some random and regular graphs are presented. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free