2015/01/28 by Zsolt Sándor, Zs. Sándor, Sándor, Zsolt +3
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cosmology and Gravitation Theories #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Quantum chaos and dynamical systems #Stellar, planetary, and galactic studies #astro-ph.EP #nlin.CD
paper · pdf · doi:10.48550/arxiv.1501.07264
39 pages, 21 figures. Non proof read version of the paper accepted in Lecture Notes in Physics
openalex publication_date 2015/01/28 · arxiv created 2015/09/29 · arxiv updated 2015/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy.