title: Antireliability of noise-driven neurons.
abstract: We demonstrate, within the framework of the FitzHugh-Nagumo model, that a firing neuron can respond to a noisy driving in a nonreliable manner: the same Gaussian white noise acting on identical neurons evokes different patterns of spikes. The effect is characterized via calculations of the Lyapunov exponent and the event synchronization correlations. We construct a theory that explains the antireliability as a combined effect of a high sensitivity to noise of some stages of the dynamics and nonisochronicity of oscillations. Geometrically, the antireliability is described by a random noninvertible one-dimensional map.
authors.affiliation: Department of Physics, University of Potsdam, Postfach 601553, D-14415 Potsdam, Germany.
authors.forename: Denis S
authors.initials: DS
authors.lastname: Goldobin
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*