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...
| Authors: | , , |
|---|---|
| Format: | article |
| Publication Date: | 2024 |
| Country: | España |
| Institution: | Universidad Rey Juan Carlos |
| Repository: | BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos |
| OAI Identifier: | oai:burjcdigital.urjc.es:10115/32220 |
| Online Access: | https://hdl.handle.net/10115/32220 |
| Access Level: | Open access |
| Keyword: | Resonance Nonlinear Dynamics fractional Duffing fractional resonance |
| Summary: | 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. |
|---|