On the Lagrange-Dirichlet converse in dimension three

Autor:	Burgos, Juan M., Paternain, Miguel
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: 44 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.01139 Zobrazit plný text záznamu View this record from Arxiv