A partial reciprocal of Dirichlet Lagrange Theorem detected by Jets

Autor:	Alva, G. J., Garcia, M. V. P.
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 93D05 34D20 34D05
Druh dokumentu:	Working Paper
Popis:	We study the stability of an equilibrium point in a conservative Hamiltonian system in the case that equilibrium is not a minimum of the potential energy and this fact is shown by a jet of this function. Thanks to a modification of a result of Krasovskii, we prove that for a large class of systems under these conditions equilibrium is unstable and there is an asymptotic trajectory to that point.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1508.07427 Zobrazit plný text záznamu View this record from Arxiv