Fractional damping effects on the transient dynamics of the Duffing oscillator
dc.contributor.author | Coccolo, Mattia | |
dc.contributor.author | Seoane, Jesús | |
dc.contributor.author | Lenci, Stefano | |
dc.contributor.author | Sanjuán, Miguel Ángel | |
dc.date.accessioned | 2024-04-11T08:12:41Z | |
dc.date.available | 2024-04-11T08:12:41Z | |
dc.date.issued | 2023-02 | |
dc.description | 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. | es |
dc.description.abstract | We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and larger damping parameter value, that we call the underdamped and overdamped regimes. In both we have studied the relation between the fractional parameter, the amplitude of the oscillations and the times to reach the asymptotic behavior, called asymptotic times. In the overdamped regime, the study shows that, also here, there are oscillations for fractional order derivatives and their amplitudes and asymptotic times can suddenly change for small variations of the fractional parameter. In addition, in this latter regime, a resonant-like behavior can take place for suitable values of the parameters of the system. These results are corroborated by calculating the corresponding -factor. We expect that these results can be useful for a better understanding of fractional dynamics and its possible applications as in modeling different kind of materials that normally need complicated damping terms. | es |
dc.identifier.citation | Coccolo, M., Seoane, J. M., Lenci, S., & Sanjuán, M. A. F. (2023). Fractional damping effects on the transient dynamics of the Duffing oscillator. Communications in Nonlinear Science and Numerical Simulation, 117, 106959. 10.1016/j.cnsns.2022.106959 | es |
dc.identifier.doi | 10.1016/j.cnsns.2022.106959 | es |
dc.identifier.issn | 1007-5704 | |
dc.identifier.uri | https://hdl.handle.net/10115/32221 | |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.subject | Fractional Duffing | es |
dc.subject | Transient chaos | es |
dc.subject | Resonance | es |
dc.subject | Nonlinear dynamics | es |
dc.title | Fractional damping effects on the transient dynamics of the Duffing oscillator | es |
dc.type | info:eu-repo/semantics/article | es |
Archivos
Bloque original
1 - 1 de 1
Cargando...
- Nombre:
- Envio_BURJC_Frac_Duf.pdf
- Tamaño:
- 3.46 MB
- Formato:
- Adobe Portable Document Format
- Descripción:
- Artículo principal
Bloque de licencias
1 - 1 de 1
No hay miniatura disponible
- Nombre:
- license.txt
- Tamaño:
- 2.67 KB
- Formato:
- Item-specific license agreed upon to submission
- Descripción: