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

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

Jun 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26a...334..355f&link_type=abstract

Astronomy and Astrophysics, v.334, p.355-362 (1998)

Mathematics

Dynamical Systems

12

Celestial Mechanics, Dynamical Systems, Methods: Numerical

Scientific paper

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.

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