@article{AIHPA_1989__51_2_199_0,
author = {Lochak, Pierre and Porzio, Anna},
title = {A realistic exponential estimate for a paradigm hamiltonian},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {51},
year = {1989},
pages = {199-219},
mrnumber = {1033617},
zbl = {0699.70021},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1989__51_2_199_0}
}
Lochak, P.; Porzio, A. A realistic exponential estimate for a paradigm hamiltonian. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) pp. 199-219. http://gdmltest.u-ga.fr/item/AIHPA_1989__51_2_199_0/
[A] , Instability of Dynamical Systems with Several Degrees of Freedom, Sov. Mat. Doklady, Vol. 5, 1964. | Zbl 0135.42602
[B G G] , and , A Proof of Nekhoroshev Theorem for the Stability Times in Nearly Integrable Hamiltonian Systems, Celestial Mechanics, Vol. 37, 1985. | MR 830795 | Zbl 0602.58022
[B G] and , Stability of Motion Near Resonances in Quasi Integrable Halmiltonian Systems, J. Stat. Phys., Vol. 44, 1986. | MR 857061 | Zbl 0636.70018
[G D F G S] , , , and , Effective Stability for an Hamiltonian System Near Elliptic Equilibrium Point with an Application to the Restricted Three Bodies Problem, J. Diff. Eq., Vol. 77, 1989. | Zbl 0675.70027
[Cel Ch] and , Construction of Analytic KAM Surfaces and Effective Stability Bounds, Comm. Math. Phys., Vol. 118, 1988. | MR 954678 | Zbl 0657.58032
[Es] , Phys. Reports 1985.
[E D] and , J. Stat. Phys., Vol. 26, 1981. | MR 643709
[G G] and , Rigorous Estimates for the Series Expansions of Hamiltonian Perturbation Theory, Celestial Mechanics, Vol. 37, 1985. | MR 838181
[G] , Meccanica elementare Boringhieri, 1980.
[Gre] , J. Math. Phys., Vol. 20, 1979.
[Khi] , Continued fractions, Chicago, 1964. | MR 161833 | Zbl 0117.28601
[N] , On the Separation of Motions in Systems with Rapidly Rotating Phase, J. Appl. Math. Mech., Vol. 48, 1984. | MR 802878 | Zbl 0571.70022
[Nekh] , An Exponential Estimate of the Time of Stability of Nearly Integrable Hamiltonian Systems, 1, Russ. Math. Surveys, Vol. 32, 1977; 2, Trudy Sem Petrov, Vol. 5, 1979. | MR 501140 | Zbl 0389.70028