The ordinal Kolmogorov-Sinai entropy: a generalized approximation

DOI10.1016/j.cnsns.2016.11.001zbMath1487.37006OpenAlexW2546718317MaRDI QIDQ2005148

Wolfram Koepf, Sabir Jacquir, J. S. Armand Eyebe Fouda

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.11.001

zbMATH Keywords

entropycomplexityordinal patternordinal array

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Measures of information, entropy (94A17) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Cites Work

• Permutation complexity in dynamical systems. Ordinal patterns, permutation entropy and all that
• Computational ergodic theory
• Detecting regular dynamics from time series using permutations slopes
• Conditional entropy of ordinal patterns
• Approximate entropy as a measure of system complexity.
• Ergodic theory of chaos and strange attractors
• Renormalized entropy for one dimensional discrete maps: periodic and quasi-periodic route to chaos and their robustness
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