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We study the behavior of orbits in two different galactic dynamical models,describing the motion in the central parts of a triaxial elliptical galaxy witha dense nucleus. Numerical experiments show that both models display regularmotion together with extended chaotic regions. A detailed investigation of theproperties of motion is made for the 2D and 3D Hamiltonian systems, using anumber of different dynamical parameters, such as the Poincare surface ofsection, the maximal Lyapunov Characteristic Exponent, the S(c) spectrum, theS(w) spectrum and the P(f) indicator. The numerical calculations suggest thatthe properties of motion in both potentials are very similar. Our results showthat one may use different kinds of gravitational potentials in order todescribe the motion in triaxial galaxies while obtaining quantitatively similarresults.

Comparing the behavior of orbits in different 3D dynamical models for elliptical galaxies