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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Detalhes bibliográficos
Autores: Coccolo, Mattia, Seoane, Jesús, Sanjuán, Miguel Ángel
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/32220
Acesso em linha:https://hdl.handle.net/10115/32220
Access Level:acceso abierto
Palavra-chave:Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
Descrição
Resumo: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.