论文信息 - Perturbations of stable invariant tori for hamiltonian systems

Perturbations of stable invariant tori for hamiltonian systems

© Scuola Normale Superiore, Pisa, 1988, tous droits réservés. L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

S. Superiore | SCUOLA NORMALE SUPERIORE | L. H. ELIASSON | L. Eliasson

[1] H. Poincaré,et al. Les méthodes nouvelles de la mécanique céleste , 1899 .

[2] E. Zehnder,et al. Generalized implicit function theorems with applications to some small divisor problems, I , 1976 .

[3] V. M. Tikhomirov,et al. The General Theory of Dynamical Systems and Classical Mechanics , 1991 .

[4] Jürgen Moser,et al. Convergent series expansions for quasi-periodic motions , 1967 .

[5] J. Moser. On the Theory of Quasiperiodic Motions , 1966 .

[6] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .

[7] J. Vey. Sur Certains Systemes Dynamiques Separables , 1978 .

[8] V. I. Arnol'd,et al. PROOF OF A THEOREM OF A.?N.?KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN , 1963 .

[9] Helmut Rüssmann,et al. On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus , 1975 .

[10] H. P. Die Mechanik des Himmels , 1902, Nature.

[11] Samuel M. Graff. On the conservation of hyperbolic invariant tori for Hamiltonian systems , 1974 .

[12] A. S. Pyartli. Diophantine approximations on submanifolds of Euclidean space , 1969 .