Optimization in the second-order Kuramoto model

• Grant number: 15/18027-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2015
• End date: September 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computer Systems
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Denilson Antonio Marques Junior
• Host 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)