Abstract
A study is made of the dynamical properties of mammalian olfactory bulb which is represented by a set of nonlinear differential equations. It is shown that when the system of the periglomerular population receives a stationary independent stochastic input from the primary olfactory nerves, the level of ongoing mean pulse rate depends only on the expected value of the input. It is also shown that if the mitral-tufted and granule population receives stationary independent stochastic inputs both from the primary olfactory nerves and centrifugal axons, then there exists a limit cycle detectable in the EEG and the phase of the limit cycle depends only on the expected values of the inputs.
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