The role of physical quantities in determining the chaotic nature of orbits in barred galaxies

We present relationships and connections between physical quantities in a barred galaxy model. Numerical calculations suggest that, for some physical parameters, such as the mass of nucleus, or the mass, or the scale length of the bar, there is a critical value of the bar strength b, where the transition from regular motion to chaos occurs, when all other parameters are kept constant. It is shown that all, numerically found, relationships can be expressed in an analytical form and can be explained using elementary theoretical arguments.