Fast Lyapunov Indicators. Application to Asteroidal Motion

Details Fast Lyapunov Indicators. Application to Asteroidal Motion Fast Lyapunov Indicators. Application to Asteroidal Motion

Jan 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..67...41f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 67, Issue 1, pp.41-62

Mathematics

Dynamical Systems

99

Dynamical Systems, Detection Of Chaotic Motion, Lyapunov Exponents, Lyapunov Exponents.

Scientific paper

We present a very simple and fast method to separate chaotic from regular orbits for non-integrable Hamiltonian systems. We use the standard map and the Hénon and Heiles potential as model problems and show that this method appears to be at least as sensitive as the frequency-analysis method. We also study the chaoticity of asteroidal motion.

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