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CALCULATION OF DIFFUSION-COEFFICIENTS FOR CHAOTIC MAPS

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UNSPECIFIED (1993) CALCULATION OF DIFFUSION-COEFFICIENTS FOR CHAOTIC MAPS. PHYSICA D, 65 (1-2). pp. 71-85. ISSN 0167-2789.

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Abstract

A new numerical method for the calculation of diffusion coefficients of maps showing chaotic behaviour is given, based on the comparison of the dynamical process described by the map and a model diffusion process. The method presents advantages over previously used methods in that it can be used on maps with bounded chaotic regions in phase space, it can be used to model map having diffusion coefficients varying in phase space and in that it is fast and efficient. The method is tested on three well known maps: the standard map, the web map and the Fermi map, each one of which exhibits features specially chosen to make full use of the advantages of the proposed method.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Journal or Publication Title: PHYSICA D
Publisher: ELSEVIER SCIENCE BV
ISSN: 0167-2789
Official Date: 15 May 1993
Dates:
DateEvent
15 May 1993UNSPECIFIED
Volume: 65
Number: 1-2
Number of Pages: 15
Page Range: pp. 71-85
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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