First numerical evidence of global Arnold diffusion in quasi--integrable systems

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We provide numerical evidence of global diffusion occurring in slightly perturbed integrable Hamiltonian systems and symplectic maps. We show that even if a system is sufficiently close to be integrable, global diffusion occurs on a set with peculiar topology, the so--called Arnold web, and is qualitatively different from Chirikov diffusion, occurring in more perturbed systems.
8 pages 3 figures

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Chaotic Dynamics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80789

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0407059
 http://arxiv.org/abs/nlin/0407059

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arXiv