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We present and analyse a three-dimensional model for a quantum dotsemiconductor laser with optical injection. This model describes recentexperimental single and double excitable intensity pulses, which are related toa central saddle-node homoclinic bifurcation as in the Adler equation. Doublepulses are related to a period doubling bifurcation and occur on the samehomoclinic curve as single pulses. The bifurcation scenario consolidatingsingle and double excitable pulses is described in detail.

A Route to Robust Double Pulse Excitability in Optically Injected Semiconductor Lasers