Parametric Autoresonance with Time-Delayed Control
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917909429747712 |
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| author | Roy, Somnath Coccolo, Mattia Sanjuán, Miguel A. F. |
| author_facet | Roy, Somnath Coccolo, Mattia Sanjuán, Miguel A. F. |
| contents | We investigate how a constant time delay influences a parametric autoresonant system. This is a nonlinear system driven by a parametrically chirped force with a negative delay-feedback that maintains adiabatic phase locking with the driving frequency. This phase locking results in a continuous amplitude growth, regardless of parameter changes. Our study reveals a critical threshold for delay strength; above this threshold, autoresonance is sustained, while below it, autoresonance diminishes. We examine the interplay between time delay and autoresonance stability, using multi-scale perturbation methods to derive analytical results, which are corroborated by numerical simulations. Ultimately, the goal is to understand and control autoresonance stability through the time-delay parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10105 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parametric Autoresonance with Time-Delayed Control Roy, Somnath Coccolo, Mattia Sanjuán, Miguel A. F. Chaotic Dynamics Numerical Analysis Mathematical Physics Computational Physics Data Analysis, Statistics and Probability 65 G.1; J.2 We investigate how a constant time delay influences a parametric autoresonant system. This is a nonlinear system driven by a parametrically chirped force with a negative delay-feedback that maintains adiabatic phase locking with the driving frequency. This phase locking results in a continuous amplitude growth, regardless of parameter changes. Our study reveals a critical threshold for delay strength; above this threshold, autoresonance is sustained, while below it, autoresonance diminishes. We examine the interplay between time delay and autoresonance stability, using multi-scale perturbation methods to derive analytical results, which are corroborated by numerical simulations. Ultimately, the goal is to understand and control autoresonance stability through the time-delay parameters. |
| title | Parametric Autoresonance with Time-Delayed Control |
| topic | Chaotic Dynamics Numerical Analysis Mathematical Physics Computational Physics Data Analysis, Statistics and Probability 65 G.1; J.2 |
| url | https://arxiv.org/abs/2411.10105 |