Gottwald, Georg A. and Melbourne, Ian (2009) On the implementation of the 0–1 test for chaos. SIAM Journal on Applied Dynamical Systems, Vol.8 (No.1). pp. 129-145. doi:10.1137/080718851 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 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.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	SIAM Journal on Applied Dynamical Systems
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	1536-0040
Official Date:	2009
Dates:	Date Event 2009 Published
Volume:	Vol.8
Number:	No.1
Page Range:	pp. 129-145
DOI:	10.1137/080718851
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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