title: Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method.
abstract: We have investigated the effect of the phase response curve on the dynamics of oscillators driven by noise in two limit cases that are especially relevant for neuroscience. Using the finite element method to solve the Fokker-Planck equation we have studied (i) the impact of noise on the regularity of the oscillations quantified as the coefficient of variation, (ii) stochastic synchronization of two uncoupled phase oscillators driven by correlated noise, and (iii) their cross-correlation function. We show that, in general, the limit of type II oscillators is more robust to noise and more efficient at synchronizing by correlated noise than type I.
authors.affiliation: Department of Biological Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA. galan@cnbc.cmu.edu
authors.forename: Roberto F
authors.initials: RF
authors.lastname: Galán
authors.forename: G Bard
authors.initials: GB
authors.lastname: Ermentrout
authors.forename: Nathaniel N
authors.initials: NN
authors.lastname: Urban