On the Implementation of the 0-1 Test for Chaos
Chaotic Dynamics
2015-05-13 v1 Dynamical Systems
Abstract
In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method to distill a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods to determine the binary quantities. We give several examples to illustrate the improvement.
Keywords
Cite
@article{arxiv.0906.1418,
title = {On the Implementation of the 0-1 Test for Chaos},
author = {Georg A. Gottwald and Ian Melbourne},
journal= {arXiv preprint arXiv:0906.1418},
year = {2015}
}