DYNAMICAL SPECTRA OF BARRED GALAXIES

We apply the method of dynamical spectra in the case of a barred galax y potential. We show its efficiency in detecting tiny ordered domains embedded in big chaotic seas. We can separate ordered from chaotic dom ains in the corotation region by integrating a number of orbits only f or 10-20 orbital periods each. The method is more efficient than the u se of the Poincare section, while other methods require a much longer time. Our method of separation between ordered and chaotic orbits is u seful when attacking the self-consistency problem in the corotation re gion of galaxies. Then we describe the differences between the dynamic al spectra of orbits in a transition region from ordered to chaotic.