articleTop 1% cited
Estimation of the Kolmogorov entropy from a chaotic signal
Physical review. A, General physics · 1983 · Vol. 28(4) · pp. 2591–2593
Peter Grassberger✉(University of Wuppertal)Itamar Procaccia(Weizmann Institute of Science)
Abstract
A new method for estimating the Kolmogorov entropy directly from a time signal is proposed and tested on examples. The method should prove valuable for characterizing experimental chaotic signals.Received 6 May 1983DOI:https://doi.org/10.1103/PhysRevA.28.2591©1983 American Physical Society
Chaos control and synchronizationComplex Systems and Time Series AnalysisStatistical Mechanics and EntropyChaoticStatistical physicsEntropy (arrow of time)PhysicsComputer scienceArtificial intelligenceQuantum mechanics
Citations
1,435
FWCI
17.14
field-weighted impact
References
3
Percentile
100%
vs. same field & year
Citations per year
Cited by
Recurrence plots for the analysis of complex systems
Physics Reports · 2007 · 3,677 citations
Ergodic theory of chaos and strange attractors
Reviews of Modern Physics · 1985 · 4,848 citations
Physiological time-series analysis using approximate entropy and sample entropy
American Journal of Physiology-Heart and Circulatory Physiology · 2000 · 7,644 citations
Physiological time-series analysis: what does regularity quantify?
American Journal of Physiology-Heart and Circulatory Physiology · 1994 · 1,321 citations
A robust method to estimate the maximal Lyapunov exponent of a time series
Physics Letters A · 1994 · 887 citations
Image encryption using 2D Logistic-adjusted-Sine map
Information Sciences · 2016 · 732 citations
Permutation Entropy: A Natural Complexity Measure for Time Series
Physical Review Letters · 2002 · 4,663 citations
Seizure prediction: the long and winding road
Brain · 2006 · 1,098 citations
References
Characterization of Strange Attractors
Physical Review Letters · 1983 · 4,787 citations
A two-dimensional mapping with a strange attractor
Communications in Mathematical Physics · 1976 · 2,935 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.