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The chaotic or ordered character of orbits in galactic models is an importantissue, since it can influence dynamical evolution. This distinction can beachieved with the help of the Smaller Alingment Index - (SALI). We describehere briefly this method and its advantages. Then we apply it to that case of2D and 3D barred galaxy potentials. In particular, we find the fraction ofchaotic and ordered orbits in such potentials and present how this fractionchanges when the main parameters of the model are varied. For this, we considermodels with different bar mass, bar thickness or pattern speed. Varying onlyone parameter at a time, we find that bars that are more massive, or thinner,or faster, have a larger fraction of chaotic orbits.Comment: 7 pages, 3 figures, in the 7th Astronomy Conference of the Hellenic  Astronomical Society, Kefallinia, Greece, (in press

Barred Galaxies: Studying the Chaotic and Ordered Nature of Orbits