Journal
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Volume 8, Issue 1, Pages 129-145Publisher
SIAM PUBLICATIONS
DOI: 10.1137/080718851
Keywords
deterministic dynamical systems; chaos; time series analysis
Categories
Funding
- ARC [DP0452147, DP0667065]
- Engineering and Physical Sciences Research Council [EP/D055520/1] Funding Source: researchfish
- EPSRC [EP/D055520/1] Funding Source: UKRI
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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.
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