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On the implementation of the 0-1 test for chaos. (English) Zbl 1161.37054
Summary: 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.
MSC:
37M10Time series analysis (dynamical systems)
65P20Numerical chaos
37D45Strange attractors, chaotic dynamics
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