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Bogdanov–Takens resonance in time-delayed systems

dc.contributor.authorCoccolo Bosio, Mattia Tommaso
dc.contributor.authorZhu, BeiBei
dc.contributor.authorFernandez Sanjuán, Miguel Ángel
dc.contributor.authorSanz-Serna, Jesús Miguel
dc.date.accessioned2024-04-09T11:01:18Z
dc.date.available2024-04-09T11:01:18Z
dc.date.issued2017-12-19
dc.identifier.citationCoccolo, 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/s11071-017-3992-1es
dc.identifier.issn0924-090X
dc.identifier.urihttps://hdl.handle.net/10115/32164
dc.descriptionThe 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.abstractWe 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.language.isoenges
dc.publisherSpringerLinkes
dc.rightscop. Springer*
dc.rights.urihttps://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms
dc.subjectNonlinear Dynamicses
dc.subjectBifurcationes
dc.subjectresonancees
dc.subjectEl niño oscillatores
dc.subjectDelayes
dc.titleBogdanov–Takens resonance in time-delayed systemses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1007/s11071-017-3992-1es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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