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We study the regular or chaotic nature of motion in a disk galaxy with adense nucleus and an asymmetric dark halo. Two cases, the 2D model and the 3Dmodel, are investigated. In the 2D model, a considerable fraction of the phaseplane is covered by chaotic orbits. Two factors seem to be responsible for thechaotic motion: (i) the dense nucleus and (ii) the asymmetries in the darkhalo. Our numerical experiments suggest, that there are several chaoticcomponents on the Poincare phase plane. Different chaotic components areinduced by the asymmetries in the halo. Each chaotic component seems to have adifferent value of the Lyapunov Characteristic Exponent, for small values ofthe asymmetry parameter and a unique LCE for larger values of the asymmetryparameter. A comparison of the present results with outcomes from previous workis also presented.

Chaos in a disk galaxy model induced by asymmetries in the dark halo