@article{AIHPA_1994__60_1_1_0, author = {Chierchia, L. and Gallavotti, G.}, title = {Drift and diffusion in phase space}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {1--144}, publisher = {Gauthier-Villars}, volume = {60}, number = {1}, year = {1994}, mrnumber = {1259103}, zbl = {1010.37039}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1994__60_1_1_0/} }
Chierchia, L.; Gallavotti, G. Drift and diffusion in phase space. Annales de l'I.H.P. Physique théorique, Tome 60 (1994) no. 1, pp. 1-144. http://www.numdam.org/item/AIHPA_1994__60_1_1_0/
[A] Instability of Dynamical Systems with Several Degrees of Freedom, Sov. Mathematical Dokl., Vol. 5, 1966, pp. 581-585.
,[ACKR] Beyond All Orders: Singular Perturbations in a Mapping, J. Nonlinear Sci., Vol. 2, 1992, pp. 9-67. | MR | Zbl
, , and ,[BG] Stability of Motions Near Resonances in Quasi-Integrable Hamiltonian Systems, J. Statistical Physics, Vol. 44, 1986, pp. 293-338. | MR | Zbl
and ,[CG] Smooth Prime Integrals for Quasi-Integrable Hamiltonian Systems II, Nuovo Cimento, Vol. 67B, 1982, pp. 277-295. | MR
and ,[CZ] Asymptotic Expansions of Quasi-Periodic Motions, Annali della Scuola Normale Superiore di Pisa, Serie IV, Vol. XVI, Fasc. 2, 1989. | Numdam | Zbl
and ,[D] Stabilité ou instabilité des points fixes elliptiques, Annales Scientifiques de l'École Normale Supérieure, Vol. 21, 1988, pp. 1-46. | Numdam | MR | Zbl
,[DS] An Asymptotic Expression for the Splitting of Separatrices of Rapidly Forced Pendulum, preprint, 1991.
and ,[G] The Elements of Mechanics, Springer, 1983. | MR
,[Ge] Separatrices Splitting for the Rapidly Forced Pendulum, preprint, 1992. | MR
,[GLT] Exponentially Small Splitting in Hamiltonian Systems, Chaos, Vol. 1, (2), 1991. | MR | Zbl
, and ,[Gr] On the Conservation for Hyperbolic Invariant Tori for Hamiltonian Systems, J. Differential Equations, Vol. 15, 1974, pp. 1-69. | MR | Zbl
,[HMS] Exponentially Small Splittings of Separatrices in KAM Theory and Degenerate Bifurcations, preprint, 1989.
, and ,[L] Mécanique Céleste, tome II, livre 5, ch. I, 1799, English Translation by , reprinted by Chelsea, 1966.
,[La1] The Existence of Caustics for a Billiard Problem in a Convex Domain, Izv. Akad. Nauk. SSSR, Vol. 37, (1), 1973. | Zbl
,[La2] Separatrices Splitting for Standard and Semistandard Mappings, preprint, 1989.
,[LW] Whiskered Tori, preprint, 1990.
, ,[M] Convergent Series Expansions for Quasi-Periodic Motions, Matematische Annalen, Vol. 169, 1967, pp. 136-176. | MR | Zbl
,[Me] On the Stability of the Center for Time Periodic Perturbations, Trans. Moscow Math. Math. Soc., Vol. 12, 1963, pp. 1-57. | MR | Zbl
,[N] An Exponential Estimate of the Time of Stability of Nearly Integrable Hamiltonian Systems, Russian Mathematical Surveys, Vol. 32, 1975, pp. 1-65. | Zbl
,[Nei] The Separation of Motions in Systems with Rapidly Rotating Phase, PMM U.S.S.R., Vol. 48, 1984, pp. 133-139. | MR | Zbl
,[P] Les Méthodes nouvelles de la mécanique céleste, 1892, reprinted by Blanchard, Paris, 1987.
,[Pö] Integrability of Hamiltonian Systems on Cantor Sets, Communications Pure Appl. Math., Vol. 35, 1982, pp. 653-696. | MR | Zbl
,[Sv] Small Perturbations of an Integrable Dynamical System with an Integral Invariant, Proceed. Steklov Institute of Math., Vol. 2, 1981. | MR | Zbl
,[Z] Generalized Implicit Function Theorems with Applications to some Small Divisor Problems I, II, Communications Pure Applied Mathematics, Vol. 28, 1975, pp. 91-140. | MR | Zbl
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