  We theoretically investigate pattern formation and nonlinear dynamics in an
array of equally-coupled, optically driven, Kerr nonlinear microresonators. We
show that the nonlinear dynamics of the system can be associated with an
effective two dimensional space due to the multimiode structure of each
resonator. As a result, two fundamentally different dynamical regimes (elliptic
and hyperbolic) arise at different regions of the hybridized dispersion
surface. We demonstrate the formation of global nonlinear optical patterns in
both regimes which correspond to coherent optical frequency combs on the
individual resonator level. In addition we show that the presence of an
additional dimension leads to the observation of wave collapse.
