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Fractional damping induces resonant behavior in the Duffing oscillator

dc.contributor.authorCoccolo, Mattia
dc.contributor.authorSeoane, Jesús
dc.contributor.authorSanjuán, Miguel Ángel
dc.date.accessioned2024-04-11T08:08:12Z
dc.date.available2024-04-11T08:08:12Z
dc.date.issued2024-06
dc.identifier.citationCoccolo, M., Seoane, J. M., & Sanjuán, M. A. F. (2024). Fractional damping induces resonant behavior in the Duffing oscillator. Communications in Nonlinear Science and Numerical Simulation, 133, 107965. 10.1016/j.cnsns.2024.107965es
dc.identifier.issn1007-5704
dc.identifier.urihttps://hdl.handle.net/10115/32220
dc.descriptionIn this study, we investigate the influence of the fractional order parameter and damping parameter interaction on the dynamics of the Duffing oscillator. Our research reveals that specific combinations of the fractional order parameter, damping parameter, and forcing amplitude can lead to the induction of high oscillation amplitudes. This effect arises from the emergence of resonance in the Duffing oscillator, which occurs exclusively when the damping term is fractional.es
dc.description.abstractThe interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our findings show that for certain values of the fractional order parameter, the damping parameter, and the forcing amplitude high oscillations amplitude can be induced. This phenomenon is due to the appearance of a resonance in the Duffing oscillator only when the damping term is fractional.es
dc.language.isoenges
dc.publisherElsevieres
dc.subjectResonancees
dc.subjectNonlinear Dynamicses
dc.subjectfractional Duffinges
dc.subjectfractional resonancees
dc.titleFractional damping induces resonant behavior in the Duffing oscillatores
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1016/j.cnsns.2024.107965es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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