Fractional damping effects on the transient dynamics of the Duffing oscillator
In this study, we explore the behavior of the nonlinear Duffing oscillator with fractional damping, a characteristic seen in various physical contexts. We examine the system under both smaller (underdamped) and larger (overdamped) damping parameter values. Our investigation focuses on the relationsh...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Rey Juan Carlos |
| Repositorio: | BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos |
| OAI Identifier: | oai:burjcdigital.urjc.es:10115/32221 |
| Acceso en línea: | https://hdl.handle.net/10115/32221 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional Duffing Transient chaos Resonance Nonlinear dynamics |
| Sumario: | In this study, we explore the behavior of the nonlinear Duffing oscillator with fractional damping, a characteristic seen in various physical contexts. We examine the system under both smaller (underdamped) and larger (overdamped) damping parameter values. Our investigation focuses on the relationship between the fractional parameter, oscillation amplitudes, and asymptotic times in reaching equilibrium. In the overdamped regime, we observe that oscillations persist for fractional order derivatives, with their amplitudes and asymptotic times exhibiting sudden changes with slight variations in the fractional parameter. Additionally, a resonant-like behavior emerges in this regime for specific system parameter values, supported by the calculation of the corresponding Q-factor. These findings contribute to a deeper understanding of fractional dynamics and its potential applications, particularly in modeling materials with complex damping requirements. |
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