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Astron. Astrophys. 334, 355-362 (1998)

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Twist angles: a method for distinguishing islands, tori and weak chaotic orbits. Comparison with other methods of analysis

Claude Froeschlé 1 and Elena Lega 1, 2

1 Observatoire de la Cote d'Azur CNRS/ UMR 6529 Bd. de l'Observatoire, BP 4229, F-06304 Nice, France
2 CNRS-LATAPSES, 250 Rue A. Einstein, F-06560 Valbonne, France

Received 1 August 1997 / Accepted 27 January 1998

Abstract

Using the standard map as a model problem we have investigated the method of the twist angles (Contopoulos and Voglis 1997) to distinguish islands tori and weak chaotic orbits. In the case of regular orbits, we have shown the relationship with the frequency studying in particular the case of second order resonances. We have tested the sensitivity of the method comparing it to the frequency analysis, the sup-map analysis and the fast Lyapunov indicator.

Key words: celestial mechanics, dynamical systems – methods: numerical

Send offprint requests to: C. Froeschlé, (claude@obs-nice.fr)

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© European Southern Observatory (ESO) 1998

Online publication: May 12, 1998

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