Bogdanov–Takens resonance in time-delayed systems
| dc.contributor.author | Coccolo Bosio, Mattia Tommaso | |
| dc.contributor.author | Zhu, BeiBei | |
| dc.contributor.author | Fernandez Sanjuán, Miguel Ángel | |
| dc.contributor.author | Sanz-Serna, Jesús Miguel | |
| dc.date.accessioned | 2024-04-09T11:01:18Z | |
| dc.date.available | 2024-04-09T11:01:18Z | |
| dc.date.issued | 2017-12-19 | |
| dc.description | The study investigates the oscillatory behavior of a dynamical system with time delay under periodic external forcing. It reveals that specific delay values can significantly amplify the system's response even with a minimal external force. This phenomenon is attributed to the presence of a Bogdanov-Takens bifurcation. While it shares similarities with other resonance phenomena, it also exhibits notable differences. | es |
| dc.description.abstract | 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. | es |
| dc.identifier.citation | Coccolo, M., Zhu, B., Sanjuán, M.A.F. et al. Bogdanov–Takens resonance in time-delayed systems. Nonlinear Dyn 91, 1939–1947 (2018). https://doi.org/10.1007/s11071-017-3992-1 | es |
| dc.identifier.doi | 10.1007/s11071-017-3992-1 | es |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.uri | https://hdl.handle.net/10115/32164 | |
| dc.language.iso | eng | es |
| dc.publisher | SpringerLink | es |
| dc.rights | cop. Springer | * |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
| dc.rights.uri | https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms | |
| dc.subject | Nonlinear Dynamics | es |
| dc.subject | Bifurcation | es |
| dc.subject | resonance | es |
| dc.subject | El niño oscillator | es |
| dc.subject | Delay | es |
| dc.title | Bogdanov–Takens resonance in time-delayed systems | es |
| dc.type | info:eu-repo/semantics/article | es |
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