The regular and random multi-pole errors influence on the HESR dynamic aperture

The high energy storage ring (HESR) of FAIR project has the racetrack lattice, where each arc has the even number of super-periods S_arc and the tune with one unit smaller v=S_arc-1 in both planes. Due to this fundamental feature the total ra-order multi-pole is entirely cancelled and the regular errors can be fully compensated inside of one arc. In case of the random multi-pole errors the dynamic aperture is determined by the structure resonances excitation. We consider both regular and random multi-pole influence on the dynamic aperture and the possible correction scheme.