Lorenz deterministic diffusion
Chaotic Dynamics
2009-11-07 v1
Abstract
The Lorenz 1963 dynamical system is known to reduce in the steady state to a one-dimensional motion of a classical particle subjected to viscous damping in a past history-dependent potential field. If the potential field is substituted by a periodic function of the position, the resulting system shows a rich dynamics where (standard) diffusive behaviours, ballistc motions and trapping take place by varying the model control parameters. This system permits to highlight the intimate relation between chaos and long-time deterministic diffusion.
Cite
@article{arxiv.nlin/0204020,
title = {Lorenz deterministic diffusion},
author = {R. Festa and A. Mazzino and D. Vincenzi},
journal= {arXiv preprint arXiv:nlin/0204020},
year = {2009}
}
Comments
7 pages, 12 figures