The intense bunch which is called for in the muon collider design will be subject to transverse instability. It has been suggested that tune spread due to BNS damping be used to control the instability. The transverse dynamics in a 50GeV 50GeV muon collider ring is examined numerically using a broad-band impedance. In addition to the BNS damping, tune spreads due to chromaticity, amplitude depe...