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Application of the 0-1 test for chaos to experimental data

Falconer, I, Gottwald, GA, Melbourne, I and Wormnes, K (2007) Application of the 0-1 test for chaos to experimental data SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 6 (2). 395 - 402. ISSN 1536-0040

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Abstract

A reliable and efficient method of distinguishing between chaotic and nonchaotic behavior in noise-contaminated, but essentially stationary and deterministic, time series data has far reaching applications. Recently, we proposed a new method of detecting chaos which applies directly to the time series data and does not require phase space reconstruction. To illustrate the effectiveness of the method for experimental data, we analyze data from a bipolar motor.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Mathematical, Mathematics, Physics, testing for chaos, deterministic dynamical systems, experimental data, nonlinear time series, COMPACT GROUP EXTENSIONS, TIME-SERIES, STATISTICAL PROPERTIES, DETERMINISTIC SYSTEMS, BROWNIAN-MOTION, NOISE, HYPERMEANDER, EXPONENTS, DECAY
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1513

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