Lorenz deterministic diffusion

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.

7 pages, 12 figures

References in corpus (2)

• Lorenz-like systems and classical dynamical equations with memory forcing: a new point of view for singling out the origin of chaos
• Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums

Cited by in corpus (3)

• Unsteady dynamics of a classical particle-wave entity
• Attractor-driven matter
• Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave-particle entity in a periodic potential