M ay 2 00 1 Asymptotic description of nonlinear resonance ∗
نویسندگان
چکیده
We study a hard regime of stimulation of two-frequency oscillations in the main resonance equation with a fast oscillating external force: εiψ ′ + |ψ| 2 ψ = exp (it 2 /(2ε)), 0 < ε ≪ 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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