Noise-induced transitions in slow wave neuronal dynamics Sukbin Lim, NUY Many neuronal systems exhibit slow random alternations in activity states. We analyze the noise-induced transitions and statistical properties in relaxation oscillator models for such systems. We find that the statistical properties can be used to distinguish among biophysical mechanisms, such as multiplicative or additive negative feedback: different slow negative feedbacks may lead to a particular pattern of temporal correlations. Applications to models of cellular pacemaker neurons and of spontaneously active networks will be discussed.