The equations for a semiconductor laser subject to injection are examined n
umerically and analytically for large values of the detuning parameter. Our
analysis is motivated by recent experimental studies using either distribu
ted feedback laser diodes or vertical-cavity surface-emitting lasers. For n
egative detuning, we show that a pulsating intensity regime may coexist wit
h a stable steady state. Transitions between time-periodic and steady state
s as the injection rate is progressively increased or decreased appear thro
ugh sudden jumps. Of particular interest is the fact that the upper locking
point corresponds to a bifurcation point to quasiperiodic intensity oscill
ations. For positive detuning, the pulsating intensity regime is the only s
table state until steady state locking smoothly occurs through a Hopf bifur
cation point. Our analysis is based on a new asymptotic analysis of the sem
iconductor laser equations which allows analytical expressions for all bifu
rcation points. (C) 1999 Elsevier Science B.V. All rights reserved.