@article{AFST_2005_6_14_4_705_0, author = {Roy, Nicolas}, title = {The geometry of nondegeneracy conditions in completely integrable systems}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {705--719}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 14}, number = {4}, year = {2005}, mrnumber = {2188589}, zbl = {1092.37033}, language = {en}, url = {http://www.numdam.org/item/AFST_2005_6_14_4_705_0/} }
TY - JOUR AU - Roy, Nicolas TI - The geometry of nondegeneracy conditions in completely integrable systems JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 705 EP - 719 VL - 14 IS - 4 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/item/AFST_2005_6_14_4_705_0/ LA - en ID - AFST_2005_6_14_4_705_0 ER -
%0 Journal Article %A Roy, Nicolas %T The geometry of nondegeneracy conditions in completely integrable systems %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 705-719 %V 14 %N 4 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/item/AFST_2005_6_14_4_705_0/ %G en %F AFST_2005_6_14_4_705_0
Roy, Nicolas. The geometry of nondegeneracy conditions in completely integrable systems. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 4, pp. 705-719. http://www.numdam.org/item/AFST_2005_6_14_4_705_0/
[1] A theorem of Liouville concerning integrable dynamics, Siberizn Math. J. 4, p. 471-474 (1963). | MR | Zbl
-[2] Local Methods in nonlinear differential equations , Springer-Verlag (1989). | MR | Zbl
-[3] Topologie Générale, Presses Universitaires de France (1981). | MR | Zbl
-[4] Global action-angle coordinates , Comm. Pure App. Math. 32, p. 687-706 (1980). | MR | Zbl
-[5] On conservation of conditionally periodic motions for a small change in Hamilton's function, Dokl. Akad. Nauk. SSSR, 98(4) p. 527-530 (1954). | MR | Zbl
-[6] Note sur l'intégration des équations différentielles de la dynamique, J. Math. Pure App. 20, p. 137-138 (1855).
-[7] Réduction des systèmes mécaniques à n degrés de libertés admettant n intégrales premières uniformes en involution aux systèmes à variables séparées, J. Math. Pure Appl. 15, p. 221-267 (1936). | JFM | Numdam | Zbl
-[8] Nondegeneracy in the perturbation theory of integrable dynamical systems. In Number theory and dynamical systems (York, 1987), volume 134 of London Math. Soc. Lecture Note Ser., p. 5-18. Cambridge Univ. Press, Cambridge (1989). | Zbl
-[9] Symplectic manifolds and their lagrangian subamnifolds, Adv. in Math. 6, 329-346 (1971). | MR | Zbl
-[10] Lagrangian submanifolds and hamiltonian systems, Ann. of Math. 98, p. 377-410 (1973). | MR | Zbl
-