This paper presents the analysis of the dynamics of a representative axial flow compressor model, emphasizing the influence of two important control parameters. These are a nondimensional parameter B (previously introduced by Greitzer (1976) as a primary determinant of post-stall behavior) and the setting of the throttle line. Greitzer's lumped-parameter model is employed in this study, with a specific choice of compressor and throttle characteristics. Our analysis shows the presence of a rich variety of global as well as local bifurcations as the two control parameters are varied. The analysis leads to a characterization of compressor operation into three major zones: the stalled zone, the pre-stall zone, and the normal (unstalled) zone. Simulation results demonstrate the qualitatively different dynamical behaviors within each regime of parameter space.