A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps
From MaRDI portal
Publication:707502
DOI10.1007/s00023-004-0188-2zbMath1162.70321OpenAlexW2084343464MaRDI QIDQ707502
Publication date: 9 February 2005
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00023-004-0188-2
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items
Analytical and numerical manifolds in a symplectic 4-D map ⋮ A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems ⋮ Analysis of the chaotic behaviour of orbits diffusing along the Arnold web ⋮ Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings ⋮ Nekhoroshev estimates for commuting nearly integrable symplectomorphisms ⋮ Diffusion and drift in volume-preserving maps ⋮ Diffusion in Hamiltonian Quasi-Integrable Systems ⋮ Global dynamics visualisation from Lagrangian descriptors. Applications to discrete and continuous systems ⋮ First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems ⋮ Quasi-effective stability for a nearly integrable volume-preserving mapping ⋮ Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems
This page was built for publication: A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps
