Phase control of escapes in the fractional damped Helmholtz oscillator

dc.contributor.authorCoccolo, Mattia
dc.contributor.authorSeoane, Jesús
dc.contributor.authorLenci, Stefano
dc.contributor.authorSanjuán, Miguel Ángel
dc.date.accessioned2024-05-03T10:12:42Z
dc.date.available2024-05-03T10:12:42Z
dc.date.issued2024-06
dc.description.abstractWe analyze the nonlinear Helmholtz oscillator in the presence of fractional damping, a characteristic feature in several physical situations. In our specific scenario, as well as in the non-fractional case, for large enough excitation amplitudes, all initial conditions are escaping from the potential well. To address this, we incorporate the phase control technique into a parametric term, a feature commonly encountered in real-world situations. In the non-fractional case it has been shown that, a phase difference of \pi, is the optimal value to avoid the escapes of the particles from the potential well. Here, our investigation focuses on understanding when particles escape, considering both the phase difference \phi and the fractional parameter \alpha as control parameters. Our findings unveil the robustness of phase control, as evidenced by the consistent oscillation of the optimal \phi value around its non-fractional counterpart when varying the fractional parameter. Additionally, our results underscore the pivotal role of the fractional parameter in governing the proportion of bounded particles, even when utilizing the optimal phase.es
dc.identifier.citationCoccolo, M., Seoane, J. M., Lenci, S., & Sanjuán, M. A. (2024). Phase control of escapes in the fractional damped Helmholtz oscillator. Chaos, Solitons & Fractals, 183, 114918.es
dc.identifier.doi10.1016/j.chaos.2024.114918es
dc.identifier.urihttps://hdl.handle.net/10115/32692
dc.language.isoenges
dc.publisherElsevieres
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional*
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccesses
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es*
dc.subjectPhase controles
dc.subjectfractional dampinges
dc.subjectchaoses
dc.subjectnonlinear dynamicses
dc.titlePhase control of escapes in the fractional damped Helmholtz oscillatores
dc.typeinfo:eu-repo/semantics/articlees

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