The autoresonance threshold into a system of weakly coupled oscillators

2007/07/16 by Sergei Glebov, Glebov, Sergei, Oleg Kiselev +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0707.2311

LaTeX, 15 pages, 6 figures

arxiv created 2007/07/16 · arxiv updated 2009/12/01

Abstract

We investigate a system of two weakly coupled oscillators. It is shown that an external periodic perturbation can lead to the capture into resonance. Asymptotic description and numerical simulations are presented. We have obtained the explicit formula for the threshold value for the amplitude of the perturbation that leads to the autoresonance.

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