Parametric Autoresonance with Time-Delayed Control

Autor:	Roy, Somnath, Coccolo, Mattia, Sanjuán, Miguel A. F.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematical Physics Physics - Computational Physics 65 G.1 J.2
Druh dokumentu:	Working Paper
Popis:	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. \end{abstract} Comment: 17 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.10105 Zobrazit plný text záznamu View this record from Arxiv