Autoresonance in a Dissipative System
Mathematical Physics
2015-05-14 v1 math.MP
Abstract
We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations.
Keywords
Cite
@article{arxiv.0912.0133,
title = {Autoresonance in a Dissipative System},
author = {Sergei Glebov and Oleg Kiselev and Nikolai Tarkhanov},
journal= {arXiv preprint arXiv:0912.0133},
year = {2015}
}
Comments
22 pages, 3 figures