Asymptotic description of nonlinear resonance

2001/05/02 by O. M. Kiselëv, O. M. Kiselev, Kiselev, O. M. +2
Computer Science · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.DS #math.MP #nlin.CD

paper · pdf · doi:10.48550/arxiv.math/0105011

LaTeX, 48 pages, two figures

arxiv created 2001/05/02 · openalex publication_date 2001/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We 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(it²/ (2\ve)), 0

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