FRACTAL DESCRIPTION OF ANOMALOUS DIFFUSION IN DYNAMICAL SYSTEMS

1 September 1993

journal article
Published by World Scientific Pub Co Pte Ltd in Fractals

Vol. 1 (3) , 389-404
https://doi.org/10.1142/s0218348x93000411

Abstract

Anomalous diffusion properties are common in a broad spectrum of systems including dynamical systems. In this paper we review an approach based on Lévy scale-invariant distributions to describe transport in dynamical systems. We introduce the basic ingredients that make the approach useful in describing anomalous diffusion and demonstrate the applicability in the cases of one-dimensional iterated maps and of the standard map.

Keywords

DYNAMICAL SYSTEMS
ANOMALOUS DIFFUSION
SPECTRUM OF SYSTEMS
FRACTAL DESCRIPTION
SYSTEMS ANOMALOUS
DIFFUSION PROPERTIES
MAPS

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