We investigate the laser equations in the mean-field limit for a homogeneou
sly broadened two-level system, taking into account the local-field correct
ion arising from dipole-dipole interactions. Our analysis concentrates on t
he dynamical properties of the laser versus the pumping parameter. The effe
ct of detuning between atomic and cavity frequencies is also studied. We fi
rst show that the local-field correction reduces the range of the chaotic r
egime when the frequency detuning is set for minimum instability threshold
operation. For a fixed local-field correction, we demonstrate that the symm
etry of the dynamical scenario versus the frequency detuning is broken. In
addition, we point out generalized bistability between the chaotic regime a
nd the off state of the laser. This bistability results from the smallness
of the basins of attraction of the off state.