Equilibrium and Stability of Elliptical Galaxies

Recent work on the equilibrium and stability of ellipsoidal stellar systems is reviewed. The absence of constant-density cores in early-type galaxies implies that chaos and high-order resonances are generic features of the motion in triaxial stellar systems. Bending instabilities are now well understood and may provide the answers to a number of long-standing riddles, including the absence of highly flattened elliptical galaxies and the formation of galactic bulges. Some preliminary results on instabilities in two-integral oblate models are presented.