Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution in several models

@article{Manos2011RegularAC,
  title={Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution in several models},
  author={Thanos Manos and E. Athanassoula},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2011},
  volume={415},
  pages={629-642}
}
The distinction between the chaotic and regular behaviour of orbits in galactic models is an important issue and can help our understanding of galactic dynamical evolution. In this paper, we deal with this issue by applying the Smaller ALingment Index (SALI) and Generalized ALingment Index (GALI) techniques to extensive samples of orbits obtained by integrating numerically the equations of motion in a barred galaxy potential. We estimate first the fraction of chaotic and regular orbits for the… 
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