The capture into parametric autoresonance

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dc.creatorKiselev, O M
dc.creatorGlebov, S G
dc.date2005-11-04
dc.date.accessioned2026-07-07T06:50:27Z
dc.date.available2026-07-07T06:50:27Z
dc.descriptionIn this work we show that the capture into parametric resonance may be explained as the pitchfork bifurcation in the primary parametric resonance equation. We prove that the solution close to the moment of the capture is described by the Painleve-2 equation. We obtain the connection formulas for the asymptotic solution of the primary parametric resonance equation before and after the capture using the matching of the asymptotic expansions.
dc.descriptionLaTeX, 21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0511017
dc.identifierhttp://arxiv.org/abs/math-ph/0511017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104673
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject70K28; 70K50; 35B40
dc.titleThe capture into parametric autoresonance
dc.typetext

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