Lasing without inversion (LWI) is investigated from a nonlinear dynami
cs point of view for an atomic system with three coupled J = 0.1 trans
itions. The driving and generated fields couple two of these transitio
ns defining a double-Lambda scheme. In addition, two incoherent pump f
ields are acting on the system. We find hat LWI can occur not only in
a continuous wave regime but also in a self-pulsing regime. A clear ph
ysical interpretation of the origin of this self-pulsing LWI is given.
We obtain analytically the threshold driving field intensity needed t
o achieve both continuous wave and self-pulsing LWI emission. For larg
e enough cavity losses, the system can reach either continuous wave or
self-pulsing regimes by only changing the driving field intensity.