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arXiv · 0906.1415

On the Validity of the 0-1 Test for Chaos

Georg A. Gottwald·Ian Melbourne
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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.

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Georg A. Gottwald, Ian Melbourne. 2009-06-08. On the Validity of the 0-1 Test for Chaos. https://doi.org/10.1088/0951-7715%2F22%2F6%2F006

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