FRACTAL DESCRIPTION OF ANOMALOUS DIFFUSION IN DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

FRACTAL DESCRIPTION OF ANOMALOUS DIFFUSION IN DYNAMICAL SYSTEMS

Published:1993-09 Issue:03 Volume:01 Page:389-404
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KLAFTER J.¹,ZUMOFEN G.²,SHLESINGER M.F.³

Affiliation:

1. School of Chemistry, Tel-Aviv University, Tel-Aviv, 69978, Israel

2. Laboratorium für Physikalische Chemie, ETH-Zentrum, CH-8092 Zürich, Switzerland

3. Physics Division, Office of Naval Research, 800 North Quincy Street, Arlington, Virginia 22217–5660, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X93000411

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