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 Repjournal_title
Scientific reportsauthors
Ji P,Peron TK,Rodrigues FA,Kurths Jdoi
10.1038/srep04783subject
Has Abstractpub_date
2014-05-02 00:00:00pages
4783issn
2045-2322pii
srep04783journal_volume
4pub_type
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