@article{ASNSP_1988_4_15_1_115_0, author = {Eliasson, L. H.}, title = {Perturbations of stable invariant tori for hamiltonian systems}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {115--147}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 15}, number = {1}, year = {1988}, mrnumber = {1001032}, zbl = {0685.58024}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1988_4_15_1_115_0/} }
TY - JOUR AU - Eliasson, L. H. TI - Perturbations of stable invariant tori for hamiltonian systems JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1988 SP - 115 EP - 147 VL - 15 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1988_4_15_1_115_0/ LA - en ID - ASNSP_1988_4_15_1_115_0 ER -
%0 Journal Article %A Eliasson, L. H. %T Perturbations of stable invariant tori for hamiltonian systems %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1988 %P 115-147 %V 15 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1988_4_15_1_115_0/ %G en %F ASNSP_1988_4_15_1_115_0
Eliasson, L. H. Perturbations of stable invariant tori for hamiltonian systems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 1, pp. 115-147. http://archive.numdam.org/item/ASNSP_1988_4_15_1_115_0/
[1] Mathematical methods of classical mechanics, Springer (1978). | MR | Zbl
,[2] Sur certains systèmes dynamiques séparables, American Journal of Mathematics, 100 (1978), pp. 591-614. | MR | Zbl
,[3] The general theory of dynamical systems and classical mechanics, Proc. of the 1954 Intern. Congr. of Math., in R. Abraham, J.E. Marsden, Foundations of mechanics, Benjamin (1978).
,[4] Proof of a theorem of A.N. Kolmogorov on the invariance of quasiperiodic motions under small perturbations of the Hamiltonian, Russian Mathematical Surveys, 18 (1962), No. 5, pp. 9-36. | MR | Zbl
,[5] On the theory of quasiperiodic motions, Siam Review 8 (1966), pp. 145-172. | MR | Zbl
,[6] Convergent series expansions for quasiperiodic motions, Mathematische Annalen, 169 (1967), pp. 136-176. | MR | Zbl
,[7] Les méthodes nouvelles de la mécanique céleste, vol. I, Paris (1892). | JFM
,[8] On the conservation of hyperbolic invariant tori for Hamiltonian systems, Journal of Differential Equations, 15 (1974), pp. 1-69. | MR | Zbl
,[9] Generalized implicit function theorems with application to some small divisor problems II, Communications on Pure and Applied Mathematics, 29 (1976), pp. 49-111. | MR | Zbl
,[10] On some cases of conservation of conditionally periodic motions under a small change of the Hamiltonian function, Soviet Mathematics Doklady, 6 (1965), pp. 1592-1596. | Zbl
,[11] A family of conditionally periodic solutions of a Hamiltonian system, Soviet Mathematics Doklady, 9 (1968), No. 4, pp. 882-885. | Zbl
,[12] An extension of a result by Dinaburg and Sinai on quasiperiodic potentials, Commentarii Mathematici Helvetici, 59 (1984), pp. 39-85. | MR | Zbl
- ,[13] Die Mechanik des Himmels, vol. 2, Leipzig (1907). | JFM
,[14] Diophantine approximation on submanifolds of euclidean space, Functional Analysis and its Applications, 3 (1969), pp. 303-306. | Zbl
,[15] On optimal estimates for the solutions of linear partial differential equations of the first order with constant coefficients on the torus, Springer, Lecture Notes in Physics, Vol. 38 (1975), pp. 598-624. | MR | Zbl
,[16] Lectures on celestial mechanics, Springer (1971). | MR | Zbl
- ,