Resonance of bounded isochronous oscillators
Dynamical Systems
2019-07-02 v2 Mathematical Physics
math.MP
Abstract
An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the phenomenon of resonance may appear. We give a sufficient condition on the perturbation in order that resonance occurs when the period annulus of the isochronous oscillator is bounded. In this context, resonance means that all solutions escape from the period annulus.
Cite
@article{arxiv.1906.11074,
title = {Resonance of bounded isochronous oscillators},
author = {David Rojas},
journal= {arXiv preprint arXiv:1906.11074},
year = {2019}
}
Comments
10 pages, 1 figure