The evolution of chaos in active galaxy models with an oblate or a
  prolate dark halo component
  The evolution of chaotic motion in a galactic dynamical model with a disk, a
dense nucleus and a flat biaxial dark halo component is investigated. Two cases
are studied: (i) the case where the halo component is oblate and (ii) the case
where a prolate halo is present. In both cases, numerical calculations show
that the extent of the chaotic regions decreases exponentially as the
scale-length of the dark halo increases. On the other hand, a linear
relationship exists between the extent of the chaotic regions and the flatness
parameter of the halo component. A linear relationship between the critical
value of the angular momentum and the flatness parameter is also found. Some
theoretical arguments to support the numerical outcomes are presented. An
estimation of the degree of chaos is made by computing the Lyapunov
Characteristic Exponents. Comparison with earlier work is also made.
