Distribution of Order Parameter for Kuramoto Model

Collection:
Clark Atlanta University Faculty Publications
Title:
Distribution of Order Parameter for Kuramoto Model
Creator:
Wu, Hui
Kim, Dongwook
Date of Original:
2015-01-01
Subject:
African Americans--Education (Higher)--Georgia
Clark Atlanta University
Location:
United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
Medium:
articles
Type:
Text
Format:
application/pdf
Description:
Abstract: synchronization in large populations of interacting oscillators has been observed abundantly in nature, emergining in fields such as physical, biological and chemical system. For this reason, many scientists are seeking to understand the underlying mechansim of the generation of synchronous patterns in oscillatory system. The synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. The Kuramoto model can be used to understand the emergence of synchronization in nextworks of coupled, nonlinear oscillators. In particular, this model presents a phase transition from incoherence to synchronization. In this paper, we investigated the distribution of order parameter ? which describes the strength of synchrony of these oscillators. The larger the order parameter ? is, the more extent the oscillators are synchronized together. This order parameter ? is a critical parameter in the Kuramoto model. Kuramoto gave a initial estimate equation for the value of the order parameter by giving the value of the coupling constant. But our numerical results show that the distribution of the order parameter is slightly different from Kuramotos estimation. We gave an estimation for the distribution of order parameter for different values of initial conditions. We discussed how the numerical result will be distributed around Kuramotos analytical equation.
Source: International Journal for Innovation Education and Research Vol:-3 No-9, 2015
URL: http://ijier.net/index.php/ijier/article/view/432/350
Metadata URL:
http://hdl.handle.net/20.500.12322/cau.ir:2015_wu_hui
Language:
eng
Original Collection:
Clark Atlanta University Faculty Publications
Holding Institution:
Clark Atlanta University
Rights:

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