On the metric properties of the Feigenbaum attractor

DOI10.1007/BF01007519zbMath0685.58022OpenAlexW2087289574MaRDI QIDQ1826179

Erik Aurell

Publication date: 1987

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01007519

zbMATH Keywords

Hausdorff dimensionperiod-doublingfractal dimensionstrajectory scaling functions

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

Period doubling system under fractal signal: Bifurcation in the renormalization group equation ⋮ Fractal properties of critical invariant curves ⋮ A comparative classification of complexity measures

Cites Work

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• Generalizations of the Hausdorff dimension of fractal measures.
• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• The transition to aperiodic behavior in turbulent systems
• Quantitative universality for a class of nonlinear transformations
• Fractal measures and their singularities: The characterization of strange sets
• A computer-assisted proof of the Feigenbaum conjectures

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