Oscillations arise throughout the central nervous system. The thalamus, for example, is centrally important in the generation of sleep rhythms. It has also been implicated in the generation of Parkinson tremor, epilepsy, and 40 Hz oscillations. These rhythms are often the result of interactions between the intrinsic properties of the individual neurons within the network and the synaptic properties of the coupling between the neurons. Both the intrinsic and synaptic dynamics may involve multiple time-scales; these may have a profound influence on the emergent network behavior. In this talk, I will review models for some of these rhythms and then discuss recent results concerning the role of fast and slow inhibitory coupling in generating different activity patterns within the networks.