  We present the controllability capabilities for the limit cycles of an
extremely tunable photonic oscillator, consisting of two coupled semiconductor
lasers. We show that this system supports stable limit cycles with frequencies
ranging from a few to more than a hundred GHz that are characterized by a
widely varying degree of asymmetry between the oscillations of the two lasers.
These dynamical features are directly controllable via differential pumping as
well as optical frequency detuning of the two lasers, suggesting a
multi-functional oscillator for chip-scale radio-frequency photonics
applications.
