2003/03/31 by John D. Barrow, Barrow, John D., Janna Levin +1
Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #astro-ph #gr-qc #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0303070
5 pages
arxiv created 2003/03/31 · openalex publication_date 2003/03/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.