Work

Simple Maps with Fractal Diffusion Coefficients

Year: 1995

Type: article

Abstract: We consider chains of one-dimensional, piecewise linear, chaotic maps with uniform slope. We study the diffusive behavior of an initially nonuniform distribution of points as a function of the slope of the map by solving the Frobenius-Perron equation. For Markov partition values of the slope, we relate the diffusion coefficient to eigenvalues of the topological transition matrix. The diffusion coefficient obtained shows a fractal structure as a function of the slope of the map. This result may be typical for a wide class of maps, such as two-dimensional sawtooth maps.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.74.387

Authors: R. Klages, J. R. Dorfman

Institutions: Technische Universität Berlin, University of Maryland, College Park

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2001966464

FWCI: 5.993

Cites: 42

Cited by: 112

Related to: 10