Box dimension of fractal attractors and their numerical computation

DOI10.1016/j.cnsns.2020.105615zbMath1456.28006OpenAlexW3101557564MaRDI QIDQ2219552

Stefan Kohl, Uta Renata Freiberg

Publication date: 20 January 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105615

zbMATH Keywords

box dimensionlocal dimensionlinear regressionLorenz attractorfractalmultifractal

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

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Cites Work

• The Lorenz equations: bifurcations, chaos, and strange attractors
• Lyapunov dimension formula for the global attractor of the Lorenz system
• The Lorenz attractor exists
• Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors
• Deterministic Nonperiodic Flow
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