Review of beam dynamics experiments and issues in large colliders

The nonlinear dynamics of transverse particle oscillations are being studied experimentally with several large synchrotrons. In the Tevatron and the Super Proton Synchrotron (SPS), sextupole magnets are used as the source of nonlinear forces. Studies are also being performed in the FNAL Main Ring at its injection energy, an inherently nonlinear environment. Field quality and aperture issues in large hadron colliders are discussed. It is noted that a gratifying amount of phase-space structure detail has been observed experimentally. With suitable preparation, a beam can exhibit a reasonable approximation to single particle behavior. Entities such as resonance islands that have been previously restricted to theory are now easily measured, uncovering a rich subject for further investigations