We explore the wide range of dynamical behaviour that is possible in networks of coupled nonlinear resonators. Our basis system consists of strongly localized photonic crystal cavities with a Kerr nonlinearity. The employed coupled mode equations are more general  , so that ring resonators and Bragg cavities are also described. Already the simplest circuits, with two or three resonators, exhibit phenomena such as self-pulsing and chaos. The use of semi-analytical theory allows us to distinguish the interesting regions for experiments. We check the theory with rigorous FDTD simulations.
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