Improvement of \(K_ 2\)-entropy calculations by means of dimension scaled distances

DOI10.1016/0167-2789(93)90061-5zbMath0772.60105OpenAlexW2000522558MaRDI QIDQ2367357

Yanyan Li

Publication date: 11 October 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90061-5

zbMATH Keywords

maximum normtimes seriesconvergence problemsphase space embedding procedure

Mathematics Subject Classification ID

Special processes (60K99) Measures of information, entropy (94A17) Ergodic theory (37A99)

Related Items

Phase-space prediction of chaotic time series ⋮ Automatic estimation of attractor invariants ⋮ Robust to noise and outliers estimator of correlation dimension ⋮ Statistical moments of Gaussian kernel correlation sum and weighted least square estimator of correlation dimension and noise level ⋮ Correlation integral as a tool for distinguishing between dynamics and statistics in time series data ⋮ Routes to chaos in wide-gap spherical Couette flow ⋮ Modified correlation entropy estimation for a noisy chaotic time series

Cites Work

• The infinite number of generalized dimensions of fractals and strange attractors
• Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria
• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• Measuring the strangeness of strange attractors
• Extracting qualitative dynamics from experimental data
• Embedology
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.

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