On the Implementation of the 0–1 Test for Chaos

In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method for distilling a binary quantity from the power...

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Bibliographic Details
Published inSIAM journal on applied dynamical systems Vol. 8; no. 1; pp. 129 - 145
Main Authors Gottwald, Georg A., Melbourne, Ian
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
Subjects
Applied mathematics
Chaos theory
Distillation
Dynamical systems
Dynamics
Formulations
Scholarships & fellowships
Statistical methods
Time series
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ISSN1536-0040
1536-0040
DOI10.1137/080718851

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Summary:In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method for distilling 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 for determining the binary quantities. We give several examples to illustrate the improvement.
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ISSN:1536-0040
1536-0040
DOI:10.1137/080718851