Lorenz deterministic diffusion

Details Lorenz deterministic diffusion Lorenz deterministic diffusion

2002-04-11

arxiv.org/abs/nlin/0204020v1

Europhys. Lett. 60, 820-826 (2002)

Nonlinear Sciences

Chaotic Dynamics

7 pages, 12 figures

Scientific paper

10.1209/epl/i2002-00247-9

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.

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