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On the implementation of the 0–1 test for chaos
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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
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Official URL: http://dx.doi.org/10.1137/080718851
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 > 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: |
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| 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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