We present a complete discussion of the nonlinear dynamics of the particle-rotor model for single-j configuration. We carry out a semiclassical quantization about the various fixed points and present numerical results for the bands built at the stable fixed points c+/-. These bands are observed to be rotational in nature and exhibit a weak oscillation in gamma ray energies. Results are also presented for alignment and dynamical moment of inertia. A comparison with the experimental data on superdeformed bands reveals several common features.