A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems

DOI10.1016/j.physd.2009.06.009zbMath1228.37042OpenAlexW2041367231MaRDI QIDQ842994

Elena Lega, Claude Froeschlé, Massimilliano Guzzo

Publication date: 28 September 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://hal-insu.archives-ouvertes.fr/insu-00186175/file/fiorimod2.pdf

zbMATH Keywords

Hamiltonian systemsArnold diffusionKAM theoremNekhoroshev theoremsymplectic mapsstable and unstable manifoldsnormally hyperbolic manifolds

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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