The unabbreviated Lamb semiclassical equations for the case of three interacting modes are numerically solved for a variety of laser parameters. Steady-state solutions are obtained for the amplitudes, beat frequencies, and time development of the modes by using the Kutta-Merson method of integration. It is found that for some solutions the relative phase angle g becomes constant, and so it is clear under what conditions self-locking is possible. When the modes are unlocked, the value of g varies with time even after the steady-state amplitudes have been achieved. Comparison is made with the locking criteria predicted by approaches to the theory where approximations have been made. A physical interpretation is given for the presence or absence of self-locking in terms of competition and of the ratio 4/AvD. Some general rules are established for the behavior. of the rise time and delay of the onset of oscillation of the three modes.

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