A moving-box algorithm to estimate generalized dimensions and the \(f(\alpha)\) spectrum

DOI10.1016/S0167-2789(98)00195-XzbMath0939.37050MaRDI QIDQ1809427

N. Fiedler-Ferrara, Nestor N. Oiwa

Publication date: 6 July 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

time seriesbox-counting methodfractalsingularity spectrumgeneralized dimensionsmoving-box algorithm

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Cites Work

• Introduction to multifractals in dynamical systems theory and fully developed fluid turbulence
• The infinite number of generalized dimensions of fractals and strange attractors
• The universal metric properties of nonlinear transformations
• Fractal measures and their singularities: The characterization of strange sets
• An Algorithm for Finding Best Matches in Logarithmic Expected Time
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