Lower bounds for the Hausdorff dimension of the geometric Lorenz attractor: The homoclinic case

Cristina Lizana; Leonardo Mora

doi:10.3934/dcds.2008.22.699

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2008, Volume 22, Issue 3: 699-709. Doi: 10.3934/dcds.2008.22.699

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Lower bounds for the Hausdorff dimension of the geometric Lorenz attractor: The homoclinic case

Cristina Lizana^1, and
Leonardo Mora^1,

1.
Departamento de Matemática, Facultad de Ciencias, La Hechicera, Universidad de los Andes Mérida, 5101

Received: December 31, 2006

Revised: March 31, 2008

Published: August 2008

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Abstract

The main concern of this paper is to give lower bounds for the Hausdorff dimension of the Geometric Lorenz attractor in terms of the eigenvalues of the singularity and the symbolic dynamic associated with the geometrical distribution with the attractor.

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Mathematics Subject Classification: Primary: 37C45, 37D40; Secondary: 37D45.

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Lower bounds for the Hausdorff dimension of the geometric Lorenz attractor: The homoclinic case

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