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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Ji, Peng [1, 2] ; Peron, Thomas K. D. M. [3] ; Rodrigues, Francisco A. [4] ; Kurths, Juergen [1, 2, 5]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 5
Document type: Journal article
Source: SCIENTIFIC REPORTS; v. 4, MAY 2 2014.
Web of Science Citations: 11
Abstract

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)

FAPESP's process: 11/50761-2 - Models and methods of e-Science for life and agricultural sciences
Grantee:Roberto Marcondes Cesar Junior
Support type: Research Projects - Thematic Grants
FAPESP's process: 13/26416-9 - Modelling of dynamical processes in complex networks
Grantee:Francisco Aparecido Rodrigues
Support type: Regular Research Grants