Synchronization of Kuramoto model with time-varying forcing in complex networks
In this paper, a generalization of the Kuramoto model is introduced by explicit consideration of deterministically time-varying periodic external force. In this model, the oscillator's natural frequencies and amplitude of collective oscillations are influenced by external forces with constant o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2014-03-01
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| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1647-1&slc_lang=en&sid=1 |
| _version_ | 1818682320427679744 |
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| author | T. Malakoutikhah F. Shahbazi |
| author_facet | T. Malakoutikhah F. Shahbazi |
| author_sort | T. Malakoutikhah |
| collection | DOAJ |
| description | In this paper, a generalization of the Kuramoto model is introduced by explicit consideration of deterministically time-varying periodic external force. In this model, the oscillator's natural frequencies and amplitude of collective oscillations are influenced by external forces with constant or random strengths. Then, the synchronization behavior of forced Kuramoto model is studied in some complex networks. In the model, a new collective dynamics behavior is observed, i.e., all the oscillators are synchronized at one second, and after a little time, all of them become unsynchronized. Also, a distinct behavior of small-world networks is observed. When the strength of external force has a bimodal distribution, a resonant behavior in small-world network is seen. |
| first_indexed | 2024-12-17T10:16:58Z |
| format | Article |
| id | doaj.art-2842cb0bf57b4981a517c0f6228ed64e |
| institution | Directory Open Access Journal |
| issn | 1682-6957 |
| language | English |
| last_indexed | 2024-12-17T10:16:58Z |
| publishDate | 2014-03-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-2842cb0bf57b4981a517c0f6228ed64e2022-12-21T21:52:53ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572014-03-01134405419Synchronization of Kuramoto model with time-varying forcing in complex networksT. Malakoutikhah0F. Shahbazi1 In this paper, a generalization of the Kuramoto model is introduced by explicit consideration of deterministically time-varying periodic external force. In this model, the oscillator's natural frequencies and amplitude of collective oscillations are influenced by external forces with constant or random strengths. Then, the synchronization behavior of forced Kuramoto model is studied in some complex networks. In the model, a new collective dynamics behavior is observed, i.e., all the oscillators are synchronized at one second, and after a little time, all of them become unsynchronized. Also, a distinct behavior of small-world networks is observed. When the strength of external force has a bimodal distribution, a resonant behavior in small-world network is seen.http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1647-1&slc_lang=en&sid=1Kuramoto model synchronization order parameter small-world network scale-free network random network |
| spellingShingle | T. Malakoutikhah F. Shahbazi Synchronization of Kuramoto model with time-varying forcing in complex networks Iranian Journal of Physics Research Kuramoto model synchronization order parameter small-world network scale-free network random network |
| title | Synchronization of Kuramoto model with time-varying forcing in complex networks |
| title_full | Synchronization of Kuramoto model with time-varying forcing in complex networks |
| title_fullStr | Synchronization of Kuramoto model with time-varying forcing in complex networks |
| title_full_unstemmed | Synchronization of Kuramoto model with time-varying forcing in complex networks |
| title_short | Synchronization of Kuramoto model with time-varying forcing in complex networks |
| title_sort | synchronization of kuramoto model with time varying forcing in complex networks |
| topic | Kuramoto model synchronization order parameter small-world network scale-free network random network |
| url | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1647-1&slc_lang=en&sid=1 |
| work_keys_str_mv | AT tmalakoutikhah synchronizationofkuramotomodelwithtimevaryingforcingincomplexnetworks AT fshahbazi synchronizationofkuramotomodelwithtimevaryingforcingincomplexnetworks |