A simple proof of the existence of adiabatic invariants for perturbed reversible problems - Archive ouverte HAL
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2008

A simple proof of the existence of adiabatic invariants for perturbed reversible problems

Résumé

In this paper, we give a simple proof of the existence of invariants for reversible perturbations of action-angle systems. The originality of this proof is that it does not rely on canonical transformations that bring the system gradually closer to a normal form, but rather on a formal development of the invariant itself.

Dates et versions

hal-00686862 , version 1 (11-04-2012)

Identifiants

Citer

Philippe Chartier, Erwan Faou. A simple proof of the existence of adiabatic invariants for perturbed reversible problems. Journal of Physics A: Mathematical and Theoretical, 2008, 41 (47), 7 p. ⟨10.1088/1751-8113/41/47/475204⟩. ⟨hal-00686862⟩
183 Consultations
0 Téléchargements

Altmetric

Partager

More