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September  2008, 22(3): 699-709. doi: 10.3934/dcds.2008.22.699

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, Venezuela, Venezuela

Received  January 2007 Revised  April 2008 Published  August 2008

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.
Keywords: lower bound., Hausdorff Dimension, Lorenz Attractor.
Mathematics Subject Classification: Primary: 37C45, 37D40; Secondary: 37D4.
Citation: Cristina Lizana, Leonardo Mora. Lower bounds for the Hausdorff dimension of the geometric Lorenz attractor: The homoclinic case. Discrete and Continuous Dynamical Systems, 2008, 22 (3) : 699-709. doi: 10.3934/dcds.2008.22.699
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