Stability of equilibria for 2D resonant hamiltoian systemsa geometrical approach

  1. Lanchares Barrasa, Víctor
Book:
VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001
  1. Madaune-Tort, Monique (coord.)

Publisher: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza

ISBN: 84-96214-04-4

Year of publication: 2003

Pages: 377-384

Congress: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)

Type: Conference paper

beta Ver similares en nube de resultados
DIALNET GOOGLE SCHOLAR

Abstract

The stability of an equilibrium point of a 2-D Hamiltonian system, in the presence of resonances, is decided by means of a geometrical criterium, when the corresponding quadratic part is not sign defined. It is proven that this method is the geometrical counterpart of a theorem of Cabral and Meyer which constitutes an extension of the Arnold's theorem.

Data source: Dialnet