Abstract
During slow-wave sleep, the brain shows slow oscillatory activity with remarkable long-range synchrony. Intracellular recordings show that the slow oscillation consists of two phases: an up state and a down state. Deriving the phase-response function of simplified neuronal systems, we examine the synchronization properties on slow oscillations between the up state and the down state. As a result, the strange interaction functions are found in some parameter ranges. These functions indicate that the states with the smaller phase lag than a critical value are all stable.
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