Pointwise Dimensions of the Lorenz Attractor

DOI10.1103/PhysRevLett.92.014101zbMath1267.37034OpenAlexW2025744519WikidataQ52004279 ScholiaQ52004279MaRDI QIDQ2837596

Sam Gratrix, J. N. Elgin

Publication date: 11 July 2013

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrevlett.92.014101

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

The geometry of chaotic dynamics --- a complex network perspective ⋮ The global statistics of return times: Return time dimensions versus generalized measure dimensions ⋮ Parametric characterisation of a chaotic attractor using the two scale Cantor measure ⋮ Hitting time and dimension in axiom A systems, generic interval exchanges and an application to Birkoff sums

Cites Work

• Extracting qualitative dynamics from experimental data
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Fractal measures and their singularities: The characterization of strange sets
• Deterministic Nonperiodic Flow

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