On estimations of the generalized Hausdorff dimension

DOI10.1134/S106345411904006XzbMath1453.28008OpenAlexW4285784246MaRDI QIDQ2212397

Yanyan Li

Publication date: 23 November 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106345411904006x

zbMATH Keywords

Hausdorff-Besicovitch dimension spectrumHausdorff-Lebesgue measure like functionalhomogeneous dimensional space with finite index of compactness

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
• Lyapunov functions in the attractor dimension theory
• Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system
• The Lyapunov dimension and its estimation via the Leonov method
• The packing dimension of a typical continuous function is 2
• Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space.
• Lyapunov dimension formula for the global attractor of the Lorenz system
• Dimension estimates in smooth dynamics: a survey of recent results
• Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors
• Hausdorff–Lebesgue Dimension of Attractors
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