Fractional damping induces resonant behavior in the Duffing oscillator

In 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 induc...

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Detalles Bibliográficos
Autores: Coccolo, Mattia, Seoane, Jesús, Sanjuán, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/32220
Acceso en línea:https://hdl.handle.net/10115/32220
Access Level:acceso abierto
Palabra clave:Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
Descripción
Sumario:In 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.