The autoresonance threshold into a system of weakly coupled oscillators

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dc.creatorGlebov, Sergei
dc.creatorKiselev, Oleg
dc.creatorLazarev, Vladimir
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:33Z
dc.date.available2026-07-07T08:18:33Z
dc.descriptionWe 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.
dc.descriptionLaTeX, 15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0707.2311
dc.identifierhttp://arxiv.org/abs/0707.2311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134469
dc.subjectMathematical Physics
dc.titleThe autoresonance threshold into a system of weakly coupled oscillators
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