Estimation of the \(f(\alpha)\) spectrum from simulated and measured time series

DOI10.1016/0960-0779(92)90023-GzbMath0769.58049OpenAlexW1990896105MaRDI QIDQ1196036

D. Uhrlandt, R. W. Leven

Publication date: 18 January 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90023-g

zbMATH Keywords

embedding dimensionsingularity spectrumgeneralized correlation-integral methods

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Fractal dimensions and \(f(\alpha)\) spectrum of chaotic sets near crises ⋮ Construction and quantitative characterization of a chaotic saddle from a pendulum experiment

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Fractal measures and their singularities: The characterization of strange sets
• NONLINEAR TIME SEQUENCE ANALYSIS

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