On the Validity of the 0-1 Test for Chaos
Chaotic Dynamics
2015-05-13 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.0906.1415,
title = {On the Validity of the 0-1 Test for Chaos},
author = {Georg A. Gottwald and Ian Melbourne},
journal= {arXiv preprint arXiv:0906.1415},
year = {2015}
}