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EXTRACTION OF DYNAMIC EQUATIONS FROM CHAOTIC DATA
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UNSPECIFIED (1992) EXTRACTION OF DYNAMIC EQUATIONS FROM CHAOTIC DATA. PHYSICA D, 58 (1-4). pp. 251-259. ISSN 0167-2789.
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Abstract
A method is described for extracting from a chaotic time series a system of equations whose solution reproduces the general features of the original data even when these are contaminated with noise. The equations facilitate calculation of fractal dimension, Lyapunov exponents and short-term predictions. The method is applied to data derived from numerical solutions of the logistic equation, the Henon equations with added noise, the Lorenz equations and the Rossler equations.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 September 1992 | ||||
Dates: |
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Volume: | 58 | ||||
Number: | 1-4 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 251-259 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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