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

Massimiliano Guzzo·Elena Lega·Claude Froeschle'
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Abstract

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.

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Massimiliano Guzzo, Elena Lega, Claude Froeschle'. 2004-07-26. First numerical evidence of global Arnold diffusion in quasi--integrable systems. https://arxiv.org/abs/nlin/0407059

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