Low-dimensional behavior of Kuramoto model with inertia in complex networks
dc.bibliographicCitation.firstPage | 4783 | eng |
dc.bibliographicCitation.lastPage | 1006 | eng |
dc.bibliographicCitation.volume | 4 | eng |
dc.contributor.author | Ji, P. | |
dc.contributor.author | Peron, T.K.D.M. | |
dc.contributor.author | Rodrigues, F.A. | |
dc.contributor.author | Kurths, J. | |
dc.date.accessioned | 2020-08-01T15:36:09Z | |
dc.date.available | 2020-08-01T15:36:09Z | |
dc.date.issued | 2014 | |
dc.description.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. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://doi.org/10.34657/3896 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/5267 | |
dc.language.iso | eng | eng |
dc.publisher | London : Nature Publishing Group | eng |
dc.relation.doi | https://doi.org/10.1038/srep04783 | |
dc.relation.ispartofseries | Scientific Reports 4 (2014) | eng |
dc.relation.issn | 2045-2322 | |
dc.rights.license | CC BY-NC-ND 3.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ | eng |
dc.subject | large systems | eng |
dc.subject | Ott-Antonsen ansatz | eng |
dc.subject | Kuramoto model | eng |
dc.subject.ddc | 530 | eng |
dc.title | Low-dimensional behavior of Kuramoto model with inertia in complex networks | eng |
dc.type | article | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Scientific Reports | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | PIK | eng |
wgl.subject | Physik | eng |
wgl.type | Zeitschriftenartikel | eng |
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