Abstract
We consider a degenerate parametric oscillator and show that, when the cavity is detuned both with respect to the pump and with respect to its subharmonic, the system can display bistable or self-pulsing behaviour. Bistability (self-pulsing) requires that the product of the two detuning parameters is positive (negative). In the self-pulsing regime, the system exhibits period doubling and chaos. We generalize our steady-state analysis to the case in which the cavity has a poor finesse for the pump mode.
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