Observing Chaos in External Spiral Galaxies

The feasibility of observing chaotic behavior in the stellar component of spiral galaxies is discussed. Three sources for development of chaos are considered namely: steep potential gradients, resonances and growing spiral perturbations. Several regions where chaos could be expected are identified such as the very central region, the end of the bar, the start of the main spiral pattern and the termination of strong spiral arms.The main observational signature is likely to be an increased velocity dispersion while multiple peaks in the velocity profile due to bifurcation of the main family of periodic orbits near resonances could be viewed as an indicator of increased stochasticity. It is non-trivial to distinguish between a higher velocity dispersion due to chaotic motions and non-periodic orbits trapped around the central family of stable periodic orbits. This requires a good dynamic model which can be obtained by combining near-infrared K surface photometry maps and kinematic information.The ESO VLT 8m unit telescopes were taken as a reference to judge if it is feasible to observe chaos in disk galaxies with current state-of-the-art equipment. Whereas surface photometry map easily can be obtained with smaller telescopes, detailed line-of-sight velocity profiles from absorption lines are difficult to observed below an isophotal level of I20 mag/ even with an 8m class telescope. This suggests that it would be possible to observe chaotic behavior in spiral galaxies out to the end of the bar or start of the main spiral pattern but not further out in the spiral arms.