  We study the classical dynamics of a system comprising a pair of Kerr-Duffing
nonlinear oscillators, which are coupled through a nonlinear interaction and
subjected to a parametric drive. Using the rotating wave approximation (RWA),
we analyze the steady-state solutions for the amplitudes of the two
oscillators. For the case of almost identical oscillators, we investigate
separately the cases in which only one oscillator is parametrically driven and
in which both oscillators are simultaneously driven. In the latter regime, we
demonstrate that even when the parametric drives acting on the two oscillators
are identical, the system can transition from a stable symmetric solution to a
broken-symmetry solution as the detuning is varied.
