Complicated dynamics due to a heteroclinic connection in an injected diode laser

We show that there exists phase-locked motion on a torus in the full single-mode rate equations of a diode laser subject to weak optical injection. The stability of the torus depends on the linewidth-enhancement factor α. The case of unstable torus motion leads to a bistability, which gives rise to hysteresis when the detuning of the input signal is varied for suitable injection strength. The torus becomes unlocked in a heteroclinic bifurcation. Our results confirm the validity of a previous analysis of an averaged phase/amplitude equation by means of bifurcation theory.1 We present the relevant dynamics by several panels, which include plots of the time series of the power, phase plots, and field and RIN spectra.