STATISTICAL ESTIMATION OF THE EMBEDDING DIMENSION OF A DYNAMICAL SYSTEM

DOI10.1142/S0218127499000456zbMath0981.37004OpenAlexW3023690300MaRDI QIDQ4494915

Dominique Guégan, G. Léorat, Denis Bosq

Publication date: 9 August 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000456

zbMATH Keywords

embedding dimension

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Predictive dimension: an alternative definition to embedding dimension

Cites Work

• A two-dimensional mapping with a strange attractor
• Optimal asymptotic quadratic error of density estimators for strong mixing or chaotic data
• Nonparametric estimation of the chaotic function and the invariant measure of a dynamical system
• Information and entropy in strange attractors
• Independent coordinates for strange attractors from mutual information
• Ergodic theory of chaos and strange attractors
• ON THE STRENGTH OF DEPENDENCE OF A TIME SERIES GENERATED BY A CHAOTIC MAP

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