Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...317...73c&link_type=abstract
Astronomy and Astrophysics, v.317, p.73-81
Astronomy and Astrophysics
Astrophysics
35
Chaos, Stellar Dynamics, Galaxy: Kinematics And Dynamics
Scientific paper
We describe a new method of distinguishing between ordered and chaotic orbits, which is much faster than the methods used up to now, namely (1) the distribution of the Poincare consequents, (2) the Lyapunov characteristic number and (3) the distribution of the rotation angles. This method is based on the distribution of the helicity angles (the angles of small deviations ξ from a given orbit with a fixed direction), or of the twist angles (the differences of successive helicity angles), and the stretching numbers (the logarithms of the ratios of successive deviations |ξ| , also called 'short time Lyapunov characteristic numbers'). We apply this method to 2-D mappings and 4-D mappings, representing Hamiltonian systems of 2 and 3 degrees of freedom respectively.
Contopoulos George
Voglis Nikos
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