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

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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Ji P,Peron TK,Rodrigues FA,Kurths J

doi

10.1038/srep04783

subject

Has Abstract

pub_date

2014-05-02 00:00:00

pages

4783

issn

2045-2322

pii

srep04783

journal_volume

4

pub_type

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