ON THE RECIPROCAL OF THE DIRICHLET-LAGRANGE THEOREM

We study the instability in Lyapunov's sense of an equilibrium point of a Hamiltonian system with n degrees of freedom for a broad class of potential energies. We will show that this kind of potential energies determine suficient conditions for the instability of this equilibrium point.

Bibliographic Details
Main Author: Gerard John Alva Morales
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2016-12-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1251/1162