Estimation of entropies and dimensions by nonlinear symbolic time series analysis

DOI10.1063/1.1555471zbMath1080.37599OpenAlexW1978485214WikidataQ47873348 ScholiaQ47873348MaRDI QIDQ5706359

J. D. Goettee, B. P. Wood, Marian Anghel, Zoltán Toroczkai, John M. Finn

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1555471

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Time series analysis of dynamical systems (37M10) Measures of information, entropy (94A17) Symbolic dynamics (37B10) Coding theorems (Shannon theory) (94A24)

Related Items (1)

On the control of chaotic systems via symbolic time series analysis

Cites Work

• Generalizations of the Hausdorff dimension of fractal measures.
• A two-dimensional mapping with a strange attractor
• Symbolic dynamics of one-dimensional maps: Entropies, finite precision, and noise
• Data compression and information retrieval via symbolization
• NONLINEAR TIME SEQUENCE ANALYSIS
• Deterministic Nonperiodic Flow
• What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series

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