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The Relative Lyapunov Indicator: An Efficient Method of Chaos Detection

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Abstract

A recently introduced chaos detection method, the relative Lyapunov indicator (RLI) is investigated in the cases of symplectic mappings and of a continuous Hamiltonian system. It is shown that the RLI is an efficient and easy-to-calculate numerical tool in determining the true nature of individual orbits, and in separating ordered and regular regions of the phase space of dynamical systems. An application of the RLI for stability investigations of some recently discovered exoplanetary systems is also presented.

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Authors and Affiliations

  1. Department of Astronomy, Eötvös University H-1117 Budapest, Pázmány Péter sétány 1/A, Hungary, e-mail

    Zsolt Sándor & Bálint Érdi

  2. School of Computing and Mathematical Sciences, Glasgow Caledonian University, Cowcaddens Road, Glasgow G40BA, U.K

    András Széll

  3. Department of Astronomy, Rutgers University, New Brunswick, New Jersey, U.S.A

    András Széll

  4. Institute for Astronomy, University of Vienna, 17 Türkenschanzstrasse, Vienna, Austria

    Barbara Funk

Authors
  1. Zsolt Sándor
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  2. Bálint Érdi
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  3. András Széll
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  4. Barbara Funk
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Sándor, Z., Érdi, B., Széll, A. et al. The Relative Lyapunov Indicator: An Efficient Method of Chaos Detection. Celestial Mechanics and Dynamical Astronomy 90, 127–138 (2004). https://doi.org/10.1007/s10569-004-8129-4

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  • DOI: https://doi.org/10.1007/s10569-004-8129-4

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