Collective phenomena in oscillator networks

It is well known that ensembles of oscillators exhibit different collective properties, the simplest form being the synchronization described by the Kuramoto model. In some setups, the "macroscopic" phase is characterized by its own non-trivial dynamics whose relationship with the "microscopic" evolution of the single oscillators is far from being understood. I'll go through a series of models to discuss the role of various ingredients, including heterogeneity, the dynamical complexity of the single oscillators, and the presence of inhibitory/excitatory coupling. A special attention will be devoted to neuronal type of networks.