PHASE-LOCKING OF A HARMONICALLY FORCED SELF-OSCILLATING SYSTEM

We present the bifurcation diagram for solutions of the forced Landau equation [d/dt - 1 + i omega + (1 + ic(3))/Psi/(2)]Psi = F-0, for c(3) not equal 0. The bifurcations of the phase locked states (fixed point s) are obtained analytically for all parameter values. Bistable region s exist in the bifurcation diagram consisting of phase locked solution s alone as well as a phase locked and a periodic solution, sometimes a ccompanied by a repelling closed orbit.