Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution
In this work, we study the Kuramoto model on scale-free, random and small-world networks with bimodal intrinsic frequency distributions. We consider two models: in one of them, the coupling constant of the ith oscillator is independent of the number of oscillators with which the oscillator interacts...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2014-11-01
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| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-653&slc_lang=en&sid=1 |
| _version_ | 1819208981983264768 |
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| author | N Khodadoostan T Malakoutikhah F Shahbazi |
| author_facet | N Khodadoostan T Malakoutikhah F Shahbazi |
| author_sort | N Khodadoostan |
| collection | DOAJ |
| description | In this work, we study the Kuramoto model on scale-free, random and small-world networks with bimodal intrinsic frequency distributions. We consider two models: in one of them, the coupling constant of the ith oscillator is independent of the number of oscillators with which the oscillator interacts, and in the other one the coupling constant is renormalized with the number of oscillators with which the oscillator interacts. For the first model, the time which is required for reaching the stationary state is more than the time which is needed in the second one. Also, for both models the order parameter of the random and scale-free network decreases by increasing the intrinsic frequency with a bimodal distribution. Unlike scale-free and random networks, the order parameter of the small-world network increases by increasing the frequency at first. But later, it decreases and then starts to oscillate. |
| first_indexed | 2024-12-23T05:48:02Z |
| format | Article |
| id | doaj.art-3fbf8865d9fc4486905fe253ab3d9f37 |
| institution | Directory Open Access Journal |
| issn | 1682-6957 |
| language | English |
| last_indexed | 2024-12-23T05:48:02Z |
| publishDate | 2014-11-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-3fbf8865d9fc4486905fe253ab3d9f372022-12-21T17:58:02ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572014-11-01142167177Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distributionN Khodadoostan0T Malakoutikhah1F Shahbazi2 Department of Physics, Isfahan University of Technology, Isfahan, Iran Department of Physics, Isfahan University of Technology, Isfahan, Iran Department of Physics, Isfahan University of Technology, Isfahan, Iran In this work, we study the Kuramoto model on scale-free, random and small-world networks with bimodal intrinsic frequency distributions. We consider two models: in one of them, the coupling constant of the ith oscillator is independent of the number of oscillators with which the oscillator interacts, and in the other one the coupling constant is renormalized with the number of oscillators with which the oscillator interacts. For the first model, the time which is required for reaching the stationary state is more than the time which is needed in the second one. Also, for both models the order parameter of the random and scale-free network decreases by increasing the intrinsic frequency with a bimodal distribution. Unlike scale-free and random networks, the order parameter of the small-world network increases by increasing the frequency at first. But later, it decreases and then starts to oscillate.http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-653&slc_lang=en&sid=1synchronization the Kuramoto model complex networks scale-Free random and small-world. |
| spellingShingle | N Khodadoostan T Malakoutikhah F Shahbazi Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution Iranian Journal of Physics Research synchronization the Kuramoto model complex networks scale-Free random and small-world. |
| title | Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| title_full | Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| title_fullStr | Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| title_full_unstemmed | Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| title_short | Synchronization of the Kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| title_sort | synchronization of the kuramoto model on the complex networks with bimodal intrinsic frequency distribution |
| topic | synchronization the Kuramoto model complex networks scale-Free random and small-world. |
| url | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-653&slc_lang=en&sid=1 |
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