Brain activity during sleep is characterized by circuit-specific oscillations, including slow waves, spindles and theta waves, which are nested in thalamocortical or hippocampal networks. A major challenge is to determine the relationships between these oscillatory activities and the identified networks of sleep-promoting and wake-promoting neurons distributed throughout the brain. Improved understanding of the neurobiological mechanisms that orchestrate sleep-related oscillatory activities, both in time and space, is expected to generate further insight into the delineation of sleep states and their functions.