Asymptotic behaviour of measure for captured trajectories into parametric autoresonance
Dynamical Systems
2016-12-28 v1 Mathematical Physics
math.MP
Abstract
We study an asymptotic behaviour of parametric autoresonance for non-linear equation. Main result of this work is statement about asymptotic behaviour of measure for captured trajectories. To find this we obtain an asymptotic expansion for capture and asymptotic behaviour of splitted separatrices for intermediate small amplitudes.
Keywords
Cite
@article{arxiv.1612.08426,
title = {Asymptotic behaviour of measure for captured trajectories into parametric autoresonance},
author = {O. M. Kiselev},
journal= {arXiv preprint arXiv:1612.08426},
year = {2016}
}
Comments
13 pages, 4 figures, 12 refs