Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896953 | Physica D: Nonlinear Phenomena | 2009 | 11 Pages |
Abstract
We investigate numerically the stable and unstable manifolds of the hyperbolic manifolds of the phase space related to the resonances of quasi-integrable systems in the regime of validity of the Nekhoroshev and KAM theorems. Using a model of weakly interacting resonances we explain the qualitative features of these manifolds characterized by peculiar ‘flower-like’ structures. We detect different transitions in the topology of these manifolds related to the local rational approximations of the frequencies. We find numerically a correlation among these transitions and the speed of Arnold diffusion.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Massimiliano Guzzo, Elena Lega, Claude Froeschlé,