On the Lagrange-Dirichlet converse in dimension three
Dynamical Systems
2022-08-03 v1
Abstract
Consider a mechanical system with a real analytic potential. We prove that in dimension three, there is an open and dense subset of the set of non strict local minimums of the potential such that every one of its points is a Lyapunov unstable equilibrium point.
Cite
@article{arxiv.2208.01139,
title = {On the Lagrange-Dirichlet converse in dimension three},
author = {Juan M. Burgos and Miguel Paternain},
journal= {arXiv preprint arXiv:2208.01139},
year = {2022}
}
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44 pages