Stability of parametric autoresonance under random perturbations
Mathematical Physics
2015-03-03 v1 Classical Analysis and ODEs
math.MP
Abstract
A mathematical model describing the initial stage of the capture into the parametric autoresonance in nonlinear oscillating systems with a dissipation is considered. Solutions with unboundedly growing energy in time at infinity are associated with the autoresonance phenomenon. Stability of such solutions is investigated. We describe classes of admissible deterministic and random perturbations such that the stability of autoresonance is preserved on an asymptotically large interval.
Cite
@article{arxiv.1503.00148,
title = {Stability of parametric autoresonance under random perturbations},
author = {Oskar Sultanov},
journal= {arXiv preprint arXiv:1503.00148},
year = {2015}
}
Comments
11 pages, 3 figures