The Influence of Network Properties on the Synchronization of Kuramoto Oscillators Quantified by a Bayesian Regression Analysis

Autor(es)

de Arruda, Guilherme F. ^[1] ; Dal'Maso Peron, Thomas Kaue ^[2] ; de Andrade, Marinho Gomes ^[1] ; Achcar, Jorge Alberto ^[3] ; Rodrigues, Francisco Aparecido ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat Aplicada & Estat, Inst Ciencia Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil

^[3] Univ Sao Paulo, Fac Med Ribeirao Preto, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 152, n. 3, p. 519-533, AUG 2013.
• Citações Web of Science: 2

Resumo

The influence of the network structure on the emergence of collective dynamical behavior is an important topic of research that has not been fully understood yet. In the current work, it is shown how statistical regression analysis can be considered to address this issue. The regression model proposed suggests that the average shortest path length is the network property most influencing the degree of synchronization of Kuramoto oscillators. Moreover, this model revealed to be very accurate, being the predicted and measured values of synchronization highly correlated. Therefore, the regression modeling allows predicting the values of the dynamic variable in terms of network structure. (AU)

• Processo FAPESP: 10/19440-2 - Caracterização, análise, simulação e classificação de redes complexas
• Beneficiário: Francisco Aparecido Rodrigues
• Linha de fomento: Auxílio à Pesquisa - Regular