@inproceedings{b7036c428d12415a81ffafef34c49cb8,
title = "Kuramoto models, coupled oscillations and laser networks",
abstract = "In this paper we study the problem of stability for one of the most popular models of coupled phase oscillators, the Kuramoto model. The Kuramoto model is used to describe the phenomenon of collective synchronization, in which an enormous system of oscillators spontaneously locks to a common frequency although the oscillators have distinct natural frequencies. In the paper we consider the stability of the Kuramoto model of coupled oscillators with identical natural frequency and provide a stability analysis of phase difference equilibrium. The stability of the phase difference equilibrium make it possible to apply the Kuramoto model in pattern recognition.",
keywords = "Coupled oscillator, Kuramoto model, Nonlinear system, Synchronization",
author = "Wenxue Wang and Bijoy Ghosh",
note = "Funding Information: ⋆ Research was partially supported from NSF grants ECS−9976174, and ECS− 0323693.; SICE(Society of Instrument and Control Engineers)Annual Conference, SICE 2007 ; Conference date: 17-09-2007 Through 20-09-2007",
year = "2007",
doi = "10.1109/SICE.2007.4420964",
language = "English",
isbn = "4907764286",
series = "Proceedings of the SICE Annual Conference",
pages = "130--135",
booktitle = "SICE Annual Conference, SICE 2007",
}