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On the validity of the 0–1 test for chaos
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Gottwald, Georg A. and Melbourne, Ian (2009) On the validity of the 0–1 test for chaos. Nonlinearity, Vol.22 (No.6). pp. 1367-1382. doi:10.1088/0951-7715/22/6/006 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/22/6/006
Abstract
In this paper, we present a theoretical justification of the 0–1 test for chaos. In particular, we show that with probability one, the test yields 0 for periodic and quasiperiodic dynamics, and 1 for sufficiently chaotic dynamics.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Nonlinearity | ||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | 2009 | ||||
| Dates: |
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| Volume: | Vol.22 | ||||
| Number: | No.6 | ||||
| Page Range: | pp. 1367-1382 | ||||
| DOI: | 10.1088/0951-7715/22/6/006 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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