Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains
Dynamical Systems
2020-02-19 v1
Abstract
We prove Lr-estimates on periodic solutions of periodically-forced, linearly-damped mechanical systems with polynomially-bounded potentials. The estimates are applied to obtain a non-existence result of periodic solutions in bounded domains, depending on an upper bound on the gradient of the potential. The results are illustrated on examples.
Keywords
Cite
@article{arxiv.1907.05778,
title = {Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains},
author = {Florian Kogelbauer},
journal= {arXiv preprint arXiv:1907.05778},
year = {2020}
}