On the validity of the 0–1 test for chaos

By Georg A. Gottwald, Ian Melbourne. 2009

170 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8f69ecfc86ce3025c77a59c64a0b9995bd760c68

How researchers see this paper

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In Mathematical Physics

1. Georg A. Gottwald
2. Ian Melbourne
3. Charalampos Skokos
4. Alexander I. Bufetov
5. E. Rio

In Statistical and Nonlinear Physics

1. Georg A. Gottwald
2. Ian Melbourne
3. Charalampos Skokos
4. Alexander I. Bufetov
5. E. Rio

Citations in the corpus

• On the Implementation of the 0-1 Test for Chaos (2009, methodology): “In Section 2 we look at expressions for the mean square displacement and describe how one may use analytical expressions derived in [11] to conveniently modify the expression for the mean square displacement.”