Asymptotic description of nonlinear resonance
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We study a hard regime of stimulation of two-frequency oscillations in the main resonance equation with a fast oscillating external force: . 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.
Cite
@article{arxiv.math/0105011,
title = {Asymptotic description of nonlinear resonance},
author = {O. M. Kiselev and S. G. Glebov},
journal= {arXiv preprint arXiv:math/0105011},
year = {2007}
}
Comments
LaTeX, 48 pages, two figures