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On the Implementation of the 0-1 Test for Chaos
Journal article   Open access  Peer reviewed

On the Implementation of the 0-1 Test for Chaos

GA Gottwald and I Melbourne
SIAM J APPL DYN SYST, Vol.8(1), pp.129-145
2009

Abstract

deterministic dynamical systems MULTIDIMENSIONAL SYSTEMS DETERMINISTIC SYSTEMS DYNAMICAL-SYSTEMS GROUP EXTENSIONS Chaos Time Series Analysis Orbits
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.
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