Order and chaos in a three dimensional galaxy model

• A disk galaxy model with a central nucleus, a disk and a triaxial halo is used.
• We investigate how the parameter values of triaxility of the halo influence the nature of orbits.
• We distinguish between regular and chaotic motion by using four dimensional Poincare maps.

We explore the orbital dynamics of a realistic three dimensional model describing the properties of a disk galaxy with a spherically symmetric central dense nucleus and a triaxial dark matter halo component. Regions of phase space with regular and chaotic motion are identified depending on the parameter values for triaxiality of the dark matter halo and for breaking the rotational symmetry. The four dimensional Poincaré map of the three degrees of freedom system is analyzed by a study of its restriction to various two dimensional invariant subsets of its domain.