The phase behaviour of passive particles is governed by the minimization of free energy. This route to determining phase behaviour is unavailable for active particles due to their sustained consumption of energy and its dissipation within the surrounding fluid. To determine stationary states we start from the equations of motion which incorporate both hydrodynamically mediated active forces and torques between self-propelled particles. Motivated by a commonly occurring experimental geometry we study the following systems: bound states of a pair of active particles and the collective excitations of a crystalline monolayer near a no- slip wall. Bifurcations from fixed points to limit cycles are observed in both of these systems giving "dancing Volvox" and a new non-equilibrium "breathing mode".