Adaptive elimination of synchronization in coupled oscillator
We present here an adaptive control scheme with a feedback delay to achieve elimination of synchronization in a large population of coupled and synchronized oscillators. We validate the feasibility of this scheme not only in the coupled Kuramoto’s oscillators with a unimodal or bimodal distribution...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa7bde |
| _version_ | 1827873266303238144 |
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| author | Shijie Zhou Peng Ji Qing Zhou Jianfeng Feng Jürgen Kurths Wei Lin |
| author_facet | Shijie Zhou Peng Ji Qing Zhou Jianfeng Feng Jürgen Kurths Wei Lin |
| author_sort | Shijie Zhou |
| collection | DOAJ |
| description | We present here an adaptive control scheme with a feedback delay to achieve elimination of synchronization in a large population of coupled and synchronized oscillators. We validate the feasibility of this scheme not only in the coupled Kuramoto’s oscillators with a unimodal or bimodal distribution of natural frequency, but also in two representative models of neuronal networks, namely, the FitzHugh–Nagumo spiking oscillators and the Hindmarsh–Rose bursting oscillators. More significantly, we analytically illustrate the feasibility of the proposed scheme with a feedback delay and reveal how the exact topological form of the bimodal natural frequency distribution influences the scheme performance. We anticipate that our developed scheme will deepen the understanding and refinement of those controllers, e.g. techniques of deep brain stimulation, which have been implemented in remedying some synchronization-induced mental disorders including Parkinson disease and epilepsy. |
| first_indexed | 2024-03-12T16:35:52Z |
| format | Article |
| id | doaj.art-cc5d6b5d1429428497e992c522c2577d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:52Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-cc5d6b5d1429428497e992c522c2577d2023-08-08T14:55:25ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119808300410.1088/1367-2630/aa7bdeAdaptive elimination of synchronization in coupled oscillatorShijie Zhou0Peng Ji1https://orcid.org/0000-0002-3225-8431Qing Zhou2Jianfeng Feng3Jürgen Kurths4Wei Lin5https://orcid.org/0000-0002-1863-4306School of Mathematical Sciences, Centre for Computational Systems Biology, and Shanghai Center of Mathematical Sciences, Fudan University , Shanghai 200433, People's Republic of China; Institute of Science and Technology for Brain-lnspired Intelligence, Fudan University , Shanghai 200433, People's Republic of ChinaInstitute of Science and Technology for Brain-lnspired Intelligence, Fudan University , Shanghai 200433, People's Republic of China; Potsdam Institute for Climate Impact Research , D-14412 Potsdam, GermanySchool of Mathematical Sciences, East China Normal University , Shanghai 200062, People's Republic of ChinaInstitute of Science and Technology for Brain-lnspired Intelligence, Fudan University , Shanghai 200433, People's Republic of ChinaPotsdam Institute for Climate Impact Research , D-14412 Potsdam, Germany; Department of Physics, Humboldt University of Berlin , D-12489 Berlin, GermanySchool of Mathematical Sciences, Centre for Computational Systems Biology, and Shanghai Center of Mathematical Sciences, Fudan University , Shanghai 200433, People's Republic of China; Institute of Science and Technology for Brain-lnspired Intelligence, Fudan University , Shanghai 200433, People's Republic of ChinaWe present here an adaptive control scheme with a feedback delay to achieve elimination of synchronization in a large population of coupled and synchronized oscillators. We validate the feasibility of this scheme not only in the coupled Kuramoto’s oscillators with a unimodal or bimodal distribution of natural frequency, but also in two representative models of neuronal networks, namely, the FitzHugh–Nagumo spiking oscillators and the Hindmarsh–Rose bursting oscillators. More significantly, we analytically illustrate the feasibility of the proposed scheme with a feedback delay and reveal how the exact topological form of the bimodal natural frequency distribution influences the scheme performance. We anticipate that our developed scheme will deepen the understanding and refinement of those controllers, e.g. techniques of deep brain stimulation, which have been implemented in remedying some synchronization-induced mental disorders including Parkinson disease and epilepsy.https://doi.org/10.1088/1367-2630/aa7bdesynchronization eliminationadaptive controltime delayscoupled oscillators05.45.-a05.45.Gg |
| spellingShingle | Shijie Zhou Peng Ji Qing Zhou Jianfeng Feng Jürgen Kurths Wei Lin Adaptive elimination of synchronization in coupled oscillator New Journal of Physics synchronization elimination adaptive control time delays coupled oscillators 05.45.-a 05.45.Gg |
| title | Adaptive elimination of synchronization in coupled oscillator |
| title_full | Adaptive elimination of synchronization in coupled oscillator |
| title_fullStr | Adaptive elimination of synchronization in coupled oscillator |
| title_full_unstemmed | Adaptive elimination of synchronization in coupled oscillator |
| title_short | Adaptive elimination of synchronization in coupled oscillator |
| title_sort | adaptive elimination of synchronization in coupled oscillator |
| topic | synchronization elimination adaptive control time delays coupled oscillators 05.45.-a 05.45.Gg |
| url | https://doi.org/10.1088/1367-2630/aa7bde |
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