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Generalized Lyapunov exponents indicators in Hamiltonian dynamics: An application to a double star system |
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| Authors: | E Lohinger C Froeschlé R Dvorak |
| Institution: | (1) Institute of Astronomy, University of Vienna, Türkenschanzstr. 17, 1180 Wien, Austria;(2) Present address: Observatoire de la Côte d'Azur, B.P. 229, 06304 Nice Cedex 4, France;(3) Institute of Astronomy, University of Vienna, Türkenschanzstr. 17, 1180 Wien, Austria |
| 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 
k
i
) (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  =0.5. |
| Keywords: | Double star systems Lyapunov exponents chaotic motion |
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