PREPRINT
AE05D0B8-4FCA-47F2-9152-A301703977AE

A Test of a Test for Chaos

John D. Barrow, Janna Levin
arXiv:nlin/0303070

Submitted on 31 March 2003

Abstract

A simple new binary test for chaos has been proposed by Gottwald and Melbourne. We apply this test successfully to the Henon-Heiles and Lorenz systems, demonstrating its applicability to conservative systems, as well as dissipative systems. The binary test is effective for highly chaotic Hamiltonian systems and orbits on a strange attractor and is particularly useful as a marker of the transition from regularity to chaos. However, we find it is not able to detect more subtle instances of transient chaos.

Preprint

Comment: 5 pages

Subjects: Nonlinear Sciences - Chaotic Dynamics; Astrophysics; General Relativity and Quantum Cosmology

URL: https://arxiv.org/abs/nlin/0303070