Abstract

A new measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable. The relation of this new measure to fractal dimension and information-theoretic entropy is discussed.

Keywords

AttractorObservableMeasure (data warehouse)Statistical physicsFractalFractal dimensionCharacter (mathematics)Series (stratigraphy)Entropy (arrow of time)Correlation dimensionCharacterization (materials science)Theoretical physicsPhysicsComputer scienceMathematicsQuantum mechanicsMathematical analysisData mining

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Publication Info

Year
1983
Type
article
Volume
50
Issue
5
Pages
346-349
Citations
4751
Access
Closed

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Cite This

Peter Grassberger, Itamar Procaccia (1983). Characterization of Strange Attractors. Physical Review Letters , 50 (5) , 346-349. https://doi.org/10.1103/physrevlett.50.346

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DOI
10.1103/physrevlett.50.346