Instability of dynamical systems with several degrees of freedom, Sov. Math. Dokl, vol.6, pp.581-585, 1964. ,
From Hamiltonian perturbation theory to symplectic integrators and back, Proceedings of the NSF/CBMS Regional Conference on Numerical Analysis of Hamiltonian Differential Equations, 1997. ,
DOI : 10.1016/S0168-9274(98)00074-9
A numerical study of the topology of hyperbolic manifolds supporting Arnold diffusion in a priori unstable systems, Preprint ,
URL : https://hal.archives-ouvertes.fr/insu-00186172
Drift and diffusion in phase space, Ann. Inst. H.Poincaré, vol.60, pp.1-144, 1994. ,
A note on the construction of Hamiltonian trajectories along heteroclinic chains, Forum Math, vol.12, pp.247-255, 2000. ,
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model, Memoirs of the American Mathematical Society, vol.179, issue.844, 2006. ,
DOI : 10.1090/memo/0844
On the connection between the Nekhoroshev theorem and Arnold diffusion, Celestial Mechanics and Dynamical Astronomy, vol.42, issue.6, pp.1-3, 2008. ,
DOI : 10.1007/s10569-008-9151-8
Partially hyperbolic dynamical systems. Handbook of dynamical systems, pp.1-55, 2006. ,
DOI : 10.1016/s1874-575x(06)80026-3
Stability of motions near resonances in quasi-integrable Hamiltonian systems, Journal of Statistical Physics, vol.12, issue.3-4, pp.293-338, 1986. ,
DOI : 10.1007/BF01011301
A Direct Proof of the Nekhoroshev Theorem for Nearly Integrable Symplectic Maps, Annales Henri Poincar???, vol.5, issue.6, pp.1013-1039, 2004. ,
DOI : 10.1007/s00023-004-0188-2
Fast Lyapunov indicators. application to asteroidal motion, Celestial Mechanics and Dynamical Astronomy, vol.67, issue.1, pp.41-62, 1997. ,
DOI : 10.1023/A:1008276418601
The fast Lyapunov indicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt, Planetary and Space Science, vol.45, issue.7, pp.881-886, 1997. ,
DOI : 10.1016/S0032-0633(97)00058-5
Graphical Evolution of the Arnold Web: From Order to Chaos, Science, vol.289, issue.5487, p.5487, 2000. ,
DOI : 10.1126/science.289.5487.2108
On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems, Physica D: Nonlinear Phenomena, vol.163, issue.1-2, 2002. ,
DOI : 10.1016/S0167-2789(01)00383-9
Detection of Arnold diffusion in Hamiltonian systems, Physica D: Nonlinear Phenomena, vol.182, issue.3-4, pp.179-187, 2003. ,
DOI : 10.1016/S0167-2789(03)00121-0
First Numerical Evidence of Arnold diffusion in quasi?integrable systems, DCDS B, vol.5, issue.3, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00388279
Local and global diffusion along resonant lines in discrete quasi?integrable dynamical systems, Celestial Mechanics and Dynamical Astronomy, vol.92, pp.1-3, 2005. ,
Diffusion and stability in perturbed non-convex integrable systems, Nonlinearity, vol.19, issue.5, pp.1049-1067, 2006. ,
DOI : 10.1088/0951-7715/19/5/003
URL : https://hal.archives-ouvertes.fr/hal-00388613
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow, Russian journal of Mathematical Physics, vol.1, issue.2, pp.191-207, 1993. ,
On the Inclusion of Analytic Symplectic Maps in Analytic Hamiltonian Flows and Its Applications, Seminar on Dynamical Systems (St. Petersburg Progr. Nonlinear Differential Equations Appl, vol.12, pp.96-116, 1991. ,
DOI : 10.1007/978-3-0348-7515-8_8
A formal approximation of the splitting of separatrices in the classical Arnold's example of diffusion with two equal parameters, Nonlinearity, vol.14, issue.6, pp.1707-1760, 2001. ,
DOI : 10.1088/0951-7715/14/6/316
unstable Hamiltonian systems, Nonlinearity, vol.15, issue.6, pp.2033-2052, 2002. ,
DOI : 10.1088/0951-7715/15/6/313
unstable Hamiltonian systems, Nonlinearity, vol.17, issue.5, pp.1803-1841, 2004. ,
DOI : 10.1088/0951-7715/17/5/014