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

Nonlinearity 22 (2009) 1367-1382.

Georg Gottwald and Ian Melbourne


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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