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

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

2004-07-26

arxiv.org/abs/nlin/0407059v1

Nonlinear Sciences

Chaotic Dynamics

8 pages 3 figures

Scientific paper

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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