On the Diffusion Along Resonant Lines in Continuous and Discrete Dynamical Systems - Archive ouverte HAL
Article Dans Une Revue International Journal of Modern Physics B Année : 2012

On the Diffusion Along Resonant Lines in Continuous and Discrete Dynamical Systems

Claude Froeschlé
  • Fonction : Auteur
Elena Lega

Résumé

We detect and measure diffusion along resonances in a discrete symplectic map for different values of the coupling parameter. Qualitatively and quantitatively the results are very similar to those obtained for a quasi-integrable Hamiltonian system, i.e. in agreement with Nekhoroshev predictions, although the discrete mapping does not fulfill completely, a priori, the conditions of the Nekhoroshev theorem.
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Dates et versions

hal-03252735 , version 1 (07-06-2021)

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Claude Froeschlé, Elena Lega. On the Diffusion Along Resonant Lines in Continuous and Discrete Dynamical Systems. International Journal of Modern Physics B, 2012, 17 (22n24), pp.3964-3976. ⟨10.1142/S0217979203023033⟩. ⟨hal-03252735⟩
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