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