Asymptotic description of nonlinear resonance

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dc.creatorKiselev, O. M.
dc.creatorGlebov, S. G.
dc.date2001-05-02
dc.date.accessioned2026-07-07T04:41:34Z
dc.date.available2026-07-07T04:41:34Z
dc.descriptionWe study a hard regime of stimulation of two-frequency oscillations in the main resonance equation with a fast oscillating external force: $ \ve i ψ' + |ψ|^2ψ= \exp\big(it^2/ (2\ve)\big), 0<\ve\ll1$. This phenomenon is caused by resonance between an eigenmode and the external force. The asymptotic solution before, inside and after the resonance layer is studied in detail and matched.
dc.descriptionLaTeX, 48 pages, two figures
dc.identifierhttps://arxiv.org/abs/math/0105011
dc.identifierhttp://arxiv.org/abs/math/0105011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61408
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleAsymptotic description of nonlinear resonance
dc.typetext

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