Stability of equilibria for 2D resonant hamiltoian systemsa geometrical approach
- Madaune-Tort, Monique (coord.)
Verlag: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 84-96214-04-4
Datum der Publikation: 2003
Seiten: 377-384
Kongress: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)
Art: Konferenz-Beitrag
Zusammenfassung
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.