Arnol'd, Small denominators. I. Mapping the circle onto itself, Izv. Akad. Nauk SSSR Ser. Mat, vol.25, pp.21-86, 1961. ,
Inequalities for convex bodies and polar reciprocal lattices inR n II: Application ofK-convexity, Discrete & Computational Geometry, vol.159, issue.3, pp.305-311, 1996. ,
DOI : 10.1007/BF02711514
On exponents of homogeneous and inhomogeneous Diophantine approximation, Moscow Math, J, vol.5, issue.4, pp.747-766, 2005. ,
Th??orie de Nekhoroshev g??n??rique sans petits diviseurs, Annales de l???institut Fourier, vol.62, issue.1, 2011. ,
DOI : 10.5802/aif.2706
Optimal Stability and Instability for Near-Linear Hamiltonians, Annales Henri Poincar??, vol.3, issue.3, pp.857-868, 2012. ,
DOI : 10.1007/s00023-011-0137-9
URL : https://hal.archives-ouvertes.fr/hal-00593882
An introduction to Diophantine approximation, Cambridge Tracts in Math. and Math. Phys, issue.45, 1957. ,
Approximation to real numbers by quadratic irrationals, Acta Arith, vol.13, issue.99, pp.169-176, 1959. ,
Lie series method for vector fields and Hamiltonian perturbation theory, ZAMP Zeitschrift f???r angewandte Mathematik und Physik, vol.29, issue.6, pp.41-843, 1990. ,
DOI : 10.1007/BF00945838
Geometry of numbers, 1987. ,
An introduction to the theory of numbers, Bulletin of the American Mathematical Society, vol.35, issue.6, 1954. ,
DOI : 10.1090/S0002-9904-1929-04793-1
Renormalization of multidimensional Hamiltonian flows, Nonlinearity, vol.19, issue.12, pp.2727-2753, 2006. ,
DOI : 10.1088/0951-7715/19/12/001
On dynamical systems with an integral invariant on the torus, Doklady Akad, Nauk SSSR (N.S.), vol.93, pp.763-766, 1953. ,
On the preservation of conditionally periodic motions for a small change in Hamilton's function, Dokl. Akad. Nauk. SSSR, vol.98, pp.527-530, 1954. ,
Geometry of numbers, 1969. ,
Canonical perturbation theory via simultaneous approximation, Russian Mathematical Surveys, vol.47, issue.6, pp.57-133, 1992. ,
DOI : 10.1070/RM1992v047n06ABEH000965
A rapidly convergent iteration method and non-linear differential equations . II, Ann. Scuola Norm, Sup. Pisa, vol.20, issue.3, pp.499-535, 1966. ,
Prevalence of exponential stability among nearly integrable Hamiltonian systems, Ergodic Theory and Dynamical Systems, vol.27, issue.03, pp.905-928, 2007. ,
DOI : 10.1017/S0143385706000927
Invariant tori in non-degenerate nearly integrable Hamiltonian systems, Regular and Chaotic Dynamics, vol.6, issue.2, pp.119-204, 2001. ,
DOI : 10.1070/RD2001v006n02ABEH000169
Topologie des points rationnels, Cours deTroisì eme Cycle, Preprint Univ. P. et M. Curie, vol.95, 1994. ,
Analytic linearization of circle diffeomorphisms, Lecture Notes in Math, vol.1784, pp.125-173, 1998. ,
DOI : 10.1007/978-3-540-47928-4_3