Analytical calculation of the transition to complete phase synchronization in coupled oscillators
Chaotic Dynamics
2011-11-28 v2
Abstract
Here we present a system of coupled phase oscillators with nearest neighbors coupling, which we study for different boundary conditions. We concentrate at the transition to total synchronization. We are able to develop exact solutions for the value of the coupling parameter when the system becomes completely synchronized, for the case of periodic boundary conditions as well as for an open chain with fixed ends. We compare the results with those calculated numerically.
Keywords
Cite
@article{arxiv.0706.1250,
title = {Analytical calculation of the transition to complete phase synchronization in coupled oscillators},
author = {Paulsamy Muruganandam and Fernando F. Ferreira and Hassan F. El-Nashar and Hilda A. Cerdeira},
journal= {arXiv preprint arXiv:0706.1250},
year = {2011}
}
Comments
5 pages, 3 figures