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February 2008 Dimension fractale d'attracteurs : cas du modèle de Hogg-Huberman
Nourredine Akroune, Danièle Fournier-Prunaret
Bull. Belg. Math. Soc. Simon Stevin 15(1): 25-31 (February 2008). DOI: 10.36045/bbms/1203692444

Abstract

In this work, we deal with the fractal dimension D of a chaotic attractor which is generated by a bidimensional endomorphism (the Hogg-Huberman model).Using a modified box-counting method, we study the numerical behavior of D with respect to the number n of points of the considered set.One establishes an important relation D=D(n) which is valid for other dynamical systems.

Citation

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Nourredine Akroune. Danièle Fournier-Prunaret. "Dimension fractale d'attracteurs : cas du modèle de Hogg-Huberman." Bull. Belg. Math. Soc. Simon Stevin 15 (1) 25 - 31, February 2008. https://doi.org/10.36045/bbms/1203692444

Information

Published: February 2008
First available in Project Euclid: 22 February 2008

zbMATH: 1141.37015
MathSciNet: MR2406084
Digital Object Identifier: 10.36045/bbms/1203692444

Subjects:
Primary: 28A80 , 37D45 , 37Exx , 37L30

Keywords: Chaotic attractor , dynamical system , fractal dimension

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 1 • February 2008
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