A Test of a Test for Chaos
Chaotic Dynamics
2007-05-23 v1 Astrophysics
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.nlin/0303070,
title = {A Test of a Test for Chaos},
author = {John D. Barrow and Janna Levin},
journal= {arXiv preprint arXiv:nlin/0303070},
year = {2007}
}
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5 pages