Local And Global Diffusion Along Resonant Lines in Discrete Quasi-integrable Dynamical Systems

Details Local And Global Diffusion Along Resonant Lines in Discrete Quasi-integrable Dynamical Systems Local And Global Diffusion Along Resonant Lines in Discrete Quasi-integrable Dynamical Systems

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..92..243f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 92, Issue 1-3, pp. 243-255

Mathematics

Dynamical Systems

15

Global Diffusion, Quasi-Integrable Dynamical Systems

Scientific paper

We detect and measure diffusion along resonances in a quasi-integrable symplectic map for different values of the perturbation parameter. As in a previously studied Hamiltonian case (Lega et al., 2003) results agree with the prediction of the Nekhoroshev theorem. Moreover, for values of the perturbation parameter slightly below the critical value of the transition between Nekhoroshev and Chirikov regime we have also found a diffusion of some orbits along macroscopic portions of the phase space. Such a diffusion follows in a spectacular way the peculiar structure of resonant lines.

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