Time-delayed Duffing oscillator in an active bath
This study examines the nonlinear dynamics of a forced, time-delayed Duffing oscillator subjected to stochastic processes, including Gaussian white and Ornstein-Uhlenbeck noises. These noises are characteristic of active particles found in various systems, from bacterial suspensions to artificial sw...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad Rey Juan Carlos |
| Repositorio: | BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos |
| OAI Identifier: | oai:burjcdigital.urjc.es:10115/32202 |
| Acesso em linha: | https://hdl.handle.net/10115/32202 |
| Access Level: | acceso abierto |
| Palavra-chave: | noise Stochastic resonance active bath active particles delay |
| Resumo: | This study examines the nonlinear dynamics of a forced, time-delayed Duffing oscillator subjected to stochastic processes, including Gaussian white and Ornstein-Uhlenbeck noises. These noises are characteristic of active particles found in various systems, from bacterial suspensions to artificial swimmers. The research focuses on how these noises influence the maximum oscillation amplitude and characteristic frequency of the oscillator's steady state across different time delays and driving force values. The findings reveal significant modifications in the role of time delay in the presence of noise. For instance, while oscillation amplitude increases with noise strength when the time delay acts as a damping term, it leads to aperiodic trajectories when sustaining oscillations. The interplay between noises, forcing, and time delay results in a diverse dynamics, where regular motion can be disrupted or restored depending on time delay values, and erratic motion can emerge when the time delay renders motion aperiodic. Notably, stochastic resonance promotes approximately periodic interwell motion under sufficient noise strength and forcing amplitude. These results shed light on the complex interactions among noise, forcing, and time delay in nonlinear systems, with implications for understanding various phenomena observed in active particle systems. |
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