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

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Publication:953816
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DOI10.3934/DCDS.2008.22.699zbMath1153.37333OpenAlexW2324134166MaRDI QIDQ953816

Cristina Lizana, Leonardo Mora

Publication date: 6 November 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.22.699


zbMATH Keywords

Hausdorff dimensionlower boundLorenz attractor


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dimension theory of smooth dynamical systems (37C45)


Related Items (2)

The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method ⋮ Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors







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