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Characterization of Strange Attractors
Physical Review Letters · 1983 · Vol. 50(5) · pp. 346–349
Peter Grassberger✉(Weizmann Institute of Science)Itamar Procaccia(Weizmann Institute of Science)
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.
Complex Systems and Time Series AnalysisStatistical Mechanics and EntropyChaos control and synchronizationAttractorObservableMeasure (data warehouse)Statistical physicsFractalFractal dimensionCharacter (mathematics)Series (stratigraphy)Entropy (arrow of time)Correlation dimension
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References
Geometry from a Time Series
Physical Review Letters · 1980 · 3,850 citations
Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon
Physical Review Letters · 1981 · 5,317 citations
A two-dimensional mapping with a strange attractor
Communications in Mathematical Physics · 1976 · 2,935 citations
Deterministic Nonperiodic Flow
Journal of the Atmospheric Sciences · 1963 · 19,069 citations
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