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Optimization in the second-order Kuramoto model

Grant number: 15/18027-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): October 01, 2015
Effective date (End): September 30, 2016
Field of knowledge:Physical Sciences and Mathematics - Computer Science
Principal Investigator:Francisco Aparecido Rodrigues
Grantee:Denilson Antonio Marques Junior
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Synchronization is a ubiquitous phenomenon observed in natural and artificial systems. The emergence of a synchronous behavior is observed when a set of self-sustained oscillators is weakly connected. The Kuramoto model is one of the most studied to describe the synchronization phenomenon. Although this model was proposed in 70's, only recently it has been considered in complex networks. One important issue regarding this model is the definition of the conditions for the emergence of the synchronous state. Recently, several works determined the optimal organization for occurrence of synchronization in networks. However, these studies considered only the first-order Kuramoto model. Here, we propose the study of optimization in the second-order Kuramoto model. We aim at determining not only the optimal network organization, but also the configuration of the parameters to obtain the maximum level of synchronization. Our investigations will be applied in the study of power grid dynamics. (AU)

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