Bogdanov-Takens resonance in time-delayed systems
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| Accesso online: | |
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| _version_ | 1866917660128706560 |
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| author | Coccolo, Mattia Zhu, BeiBei Sanjuán, Miguel A. F. Sanz-Serna, Jesús M. |
| author_facet | Coccolo, Mattia Zhu, BeiBei Sanjuán, Miguel A. F. Sanz-Serna, Jesús M. |
| contents | We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude. This phenomenon is related to the presence of a Bogdanov- Takens bifurcation and displays some analogies to other resonance phenomena, but also substantial differences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_03606 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Bogdanov-Takens resonance in time-delayed systems Coccolo, Mattia Zhu, BeiBei Sanjuán, Miguel A. F. Sanz-Serna, Jesús M. Chaotic Dynamics We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude. This phenomenon is related to the presence of a Bogdanov- Takens bifurcation and displays some analogies to other resonance phenomena, but also substantial differences. |
| title | Bogdanov-Takens resonance in time-delayed systems |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/1707.03606 |