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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

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Abstract

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.

Item Type: Article
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
Depositing User: Symplectic Elements
Date Deposited: 19 Mar 2012 12:02
Last Modified: 23 Sep 2013 19:18
URI: http://epubs.surrey.ac.uk/id/eprint/294651

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