Abstract
The Lyapunov characteristic numbers (LCNs) which are defined as the mean value of the distribution of the local variations of the tangent vectors to the flow (=ln α i k ) (see Froeschlé, 1984) have been found to be sensitive indicators of stochasticity. So we computed the distribution of these local variations and determined the moments of higher order for the integrable and stochastic regions in a binary star system with μ=0.5.
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Lohinger, E., Froeschlé, C. & Dvorak, R. Generalized Lyapunov exponents indicators in Hamiltonian dynamics: An application to a double star system. Celestial Mech Dyn Astr 56, 315–322 (1993). https://doi.org/10.1007/BF00699742
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DOI: https://doi.org/10.1007/BF00699742