First numerical evidence of global Arnold diffusion in quasi--integrable systems
Chaotic Dynamics
2007-05-23 v1 Exactly Solvable and Integrable Systems
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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Cite
@article{arxiv.nlin/0407059,
title = {First numerical evidence of global Arnold diffusion in quasi--integrable systems},
author = {Massimiliano Guzzo and Elena Lega and Claude Froeschle'},
journal= {arXiv preprint arXiv:nlin/0407059},
year = {2007}
}
Comments
8 pages 3 figures