@article{M2AN_1987__21_3_487_0, author = {Mathlouthi, Salem}, title = {Applications num\'eriques de la dualit\'e en m\'ecanique hamiltonienne}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {21}, year = {1987}, pages = {487-520}, mrnumber = {908242}, zbl = {0624.70015}, language = {fr}, url = {http://dml.mathdoc.fr/item/M2AN_1987__21_3_487_0} }
Mathlouthi, Salem. Applications numériques de la dualité en mécanique hamiltonienne. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987) pp. 487-520. http://gdmltest.u-ga.fr/item/M2AN_1987__21_3_487_0/
[1] On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories. J. Diff. équation (43) (1981), pp. 1-6. | Zbl 0492.70018
and ,[2] Solutions of minimal period for a class of convex Hamiltonian Systems, Math. Ann. 255 (1981) | MR 615860 | Zbl 0466.70022
and ,[3] Applied Nonlinear Analysis, Willey, New York (1984). | MR 749753 | Zbl 0641.47066
and ,[4] Hamiltonian trajectories having prescribed minimal period. Comm. Pure App. Math., t. 33, 1980, pp. 103-116. | MR 562546 | Zbl 0403.70016
and ,[5] Nonlinear oscillation and boundary value problem for Hamiltonian system, Archive Rat. Mech. An. | Zbl 0514.34032
and ,[6] On the number of periodic trajectories for a Hamiltonian flew on a convex energy surface, Ann. Math. 112 (1980), pp. 283-319. | MR 592293 | Zbl 0449.70014
and ,[7] Analyse convexe et problèmes variationnels, Dunod-Gauthier-Villars, Paris, 1972. | MR 463993 | Zbl 0281.49001
et ,[8] Numerical exploration of Hamiltonian systems. North-Holland Publishing company, 1983. | MR 724464 | Zbl 0578.70019
,[9] | MR 158746
and , (1964) Astron. J. 69, 73.[10] Stability of linear Hamiltonian Systems with periodic coefficients. Research Report. IBM Thomas J. W.R.C. (1977).
,[11] Programmation mathématique, théorie et algorithmes. Tome 1, Dunod (1983) Paris. | MR 714150 | Zbl 0546.90056
,