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A Test of a Test for Chaos

John D. Barrow·Janna Levin
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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.

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John D. Barrow, Janna Levin. 2003-03-31. A Test of a Test for Chaos. https://arxiv.org/abs/nlin/0303070

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