Low-dimensional behavior of Kuramoto model with inertia in complex networks

Autor(es)

Ji, Peng ^{[1, 2]} ; Peron, Thomas K. D. M. ^[3] ; Rodrigues, Francisco A. ^[4] ; Kurths, Juergen ^{[1, 2, 5]}

Afiliação do(s) autor(es)

^[1] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam - Germany

^[2] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany

^[3] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil

^[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, BR-13560970 Sao Carlos, SP - Brazil

^[5] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland

• Tipo de documento: Artigo Científico
• Fonte: SCIENTIFIC REPORTS; v. 4, MAY 2 2014.
• Citações Web of Science: 11

Resumo

Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we generalize the Ott-Antonsen ansatz to second-order Kuramoto models in complex networks. With an additional inertia term, we find a low-dimensional behavior similar to the first-order Kuramoto model, derive a self-consistent equation and seek the time-dependent derivation of the order parameter. Numerical simulations are also conducted to verify our analytical results. (AU)

• Processo FAPESP: 13/26416-9 - Modelagem de processos dinâmicos em redes complexas
• Beneficiário: Francisco Aparecido Rodrigues
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/50761-2 - Modelos e métodos de e-Science para ciências da vida e agrárias
• Beneficiário: Roberto Marcondes Cesar Junior
• Linha de fomento: Auxílio à Pesquisa - Temático