On the Implementation of the 0-1 Test for Chaos
Gottwald, GA and Melbourne, I (2009) On the Implementation of the 0-1 Test for Chaos SIAM J APPL DYN SYST, 8 (1). 129 - 145. ISSN 1536-0040
Available under License : See the attached licence file.
Official URL: http://dx.doi.org/10.1137/080718851
In this paper we address practical aspects of the implementation of the 0-1 test for chaos. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method to distill a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods to determine the binary quantities. We give several examples to illustrate the improvement.
|Additional Information:||Copyright 2009 Society for Industrial and Applied Mathematics|
|Uncontrolled Keywords:||deterministic dynamical systems, chaos, time series analysis, MULTIDIMENSIONAL SYSTEMS, DETERMINISTIC SYSTEMS, DYNAMICAL-SYSTEMS, GROUP EXTENSIONS, ORBITS|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Symplectic Elements|
|Deposited On:||19 Mar 2012 12:02|
|Last Modified:||16 Feb 2013 16:28|
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