Fast Arnold Diffusion in three time scale systems

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We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian systems with three time scales. By means of a careful shadowing analysis, based on a variational technique, we prove that, along special directions, Arnold diffusion takes place with fast (polynomial) speed, even though the ``splitting determinant'' is exponentially small.

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Dynamical Systems, 34J40, 37J45

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http://salesiana.dossiersoluciones.com/handle/123456789/61071

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103065
 http://arxiv.org/abs/math/0103065

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arXiv