On the Validity of the 0-1 Test for Chaos

Details On the Validity of the 0-1 Test for Chaos On the Validity of the 0-1 Test for Chaos

2009-06-08

arxiv.org/abs/0906.1415v1

Nonlinearity 22 (2009), 1367-1382

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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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