On the Multifractal Character of the Lorenz Attractor : General and Mathematical Physics

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概要

• 論文の詳細を見る

• A detailed analysis of the Lorenz attractor in connection with generalized dimensions is presented in this work. Different methods have been employed to estimate these dimensions. Two of them are of standard type. A new method, based on the minimal spanning tree of the point distribution, is extensively tested in this work. It turns out that the Lorenz attractor is very appropriate for being analyzed through this technique, which produces a very clean estimate of the extrema scaling indices α_<min> and α_<max>. The different methods give qualitatively the same result: The Lorenz attractor has a multifractal character.

• 理論物理学刊行会の論文
• 1992-05-25

著者

• Roy L

  Departamento De Fisica Aplicada Universidad De Zaragoza

• Dominguez-tenreiro R

  Departamento De Fisica Teorica Universidad Autonoma De Madrid

• ROY L.

  Departamento de Fisica Aplicada, Universidad de Zaragoza

• MARTINEZ V.

  Departament de Matematica Aplicada i Astronomia, Universitat de Valencia

• Martinez V.

  Departament De Matematica Aplicada I Astronomia Universitat De Valencia

• Martinez V.J.

  Departament de Matematica Aplicada i Astronomia, Universitat de Valencia

• Dominguez-Tenreiro R.

  Departamento de Fisica Teorica, Universidad Autonoma de Madrid

• Roy L.J.

  Departamento de Fisica Aplicada, Universidad de Zaragoza

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• On the Multifractal Character of the Lorenz Attractor : General and Mathematical Physics

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