On the Implementation of the 0-1 Test for Chaos

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

2009-06-08

arxiv.org/abs/0906.1418v1

SIAM Journal on Applied Dynamical Systems 8 (2009), 129-145

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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.

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