Fractal analysis of spiral trajectories of some vector fields in $ {\mathbb{R}}^{3}$

Žubrinić, Darko; Županović, Vesna

doi:10.1016/j.crma.2006.04.021

Dynamical Systems

Fractal analysis of spiral trajectories of some vector fields in

R^{3}

[Analyse fractale des trajectoires spirales de quelques champs de vecteurs dans

R^{3}

]

Présenté par : Étienne Ghys

Žubrinić, Darko ¹ ; Županović, Vesna ¹

¹ University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia

Comptes Rendus. Mathématique, Tome 342 (2006) no. 12, pp. 959-963.

Résumé
Abstract

Nous étudions la ‘box dimension’ et le contenu de Minkowski des solutions spirales de quelques systèmes dynamiques dans $R^{3}$ .

We study box dimension and Minkowski content of spiral solutions of some dynamical systems in $R^{3}$ .

Reçu le : 2005-03-02
Accepté le : 2006-03-30
Publié le : 2006-05-11

DOI : 10.1016/j.crma.2006.04.021

Affiliations des auteurs :

Žubrinić, Darko ¹ ; Županović, Vesna ¹

¹ University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia

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Žubrinić, Darko; Županović, Vesna. Fractal analysis of spiral trajectories of some vector fields in $ {\mathbb{R}}^{3}$. Comptes Rendus. Mathématique, Tome 342 (2006) no. 12, pp. 959-963. doi : 10.1016/j.crma.2006.04.021. http://www.numdam.org/articles/10.1016/j.crma.2006.04.021/

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