Effect of tune modulation on the transverse stability of storage ring

The transverse stability is a critical issue in circular accelerator. In this paper, we analysed the effect of tune modulation on a FODO lattice with sextupole nonlinear through estimating the dynamic aperture including the influence of the distortion along the phase. It turned out that the tune modulation decreases the stability of particle in storage ring, the extent of this decrease depends largely on the amplitude and tune of modulation.