Asymptotic description of nonlinear resonance
O. M. Kiselev, S. G. Glebov
Abstract
We study a hard regime of stimulation of two-frequency oscillations in the main resonance equation with a fast oscillating external force: i ψ' + |ψ|2ψ= (it2/ (2)), 0<1. 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.
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