The relative Lyapunov indicator: an efficient method of chaos detection

DOI10.1007/s10569-004-8129-4zbMath1109.37033OpenAlexW1971410414MaRDI QIDQ1766880

Zsolt Sándor, B. Funk, András Széll, Érdi Bálint

Publication date: 1 March 2005

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-004-8129-4

zbMATH Keywords

dynamical systemscelestial mechanicsLyapunov indicatorschaos and regular regions

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

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• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits
• The phase space structure around \(L_4\) in the restricted three-body problem
• On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems

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