| Issue |
Europhys. Lett.
Volume 60, Number 6, December 2002
|
|
|---|---|---|
| Page(s) | 820 - 826 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00247-9 | |
| Published online | 01 December 2002 | |
Lorenz deterministic diffusion
1
INFM-Dipartimento di Fisica,
Università di Genova - I-16146 Genova, Italy
2
ISAC/CNR, Sezione di Lecce - Strada provinciale
Lecce-Monteroni km 1.2 73100 Lecce, Italy
3
CNRS, Observatoire de la Côte d'Azur - B.P. 4229,
06304 Nice Cedex 4, France
Corresponding author: vincenzi@obs-nice.fr
Received:
26
March
2002
Accepted:
25
September
2002
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, ballistic 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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.60.-k – Transport processes
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.