We generalize the Tang, Statz and deMars rate equations by retaining l
ow spatial frequency Fourier components of the population inversion. F
or homogeneous pumping, the new terms barely influence the results of
the usual TSD equations. However, for strongly inhomogeneous pumping,
the new rate equations predict an instability leading to a breakup of
the CW intensity into pulses which can be either periodic or chaotic.