General exact theory of autoresonance in nonautonomous systems
Accelerator Physics
2015-06-26 v3 General Physics
Abstract
A general exact theory of autoresonance (self-sustained resonance) in both dissipative and Hamiltonian nonautonomous systems is presented. The equations that together govern the autoresonance solutions and excitations are derived with the aid of a variational principle concerning the power functional. The theory is applied to Duffing oscillators to obtain exact analytical expressions for autoresonance excitations and solutions which explain all the phenomenological and approximate results arising from the previous approach to autoresonance phenomena.
Keywords
Cite
@article{arxiv.physics/0306139,
title = {General exact theory of autoresonance in nonautonomous systems},
author = {Ricardo Chacon},
journal= {arXiv preprint arXiv:physics/0306139},
year = {2015}
}
Comments
12 pages, LaTeX; figures added