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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.
    Mathematics Subject Classification: Primary: 37J40, 70K43.


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