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