Spiking Behavior in a Noise-Driven System Combining Oscillatory and Excitatory Properties

V. A. Makarov; V. I. Nekorkin; M. G. Velarde

doi:10.1103/PhysRevLett.86.3431

Spiking Behavior in a Noise-Driven System Combining Oscillatory and Excitatory Properties

V. A. Makarov, V. I. Nekorkin, and M. G. Velarde

Phys. Rev. Lett. 86, 3431 – Published 9 April 2001

Abstract

We show that firing activity (spiking) can be regularized by noise in a FitzHugh-Nagumo (FHN) neuron model when operating slightly beyond the supercritical Hopf bifurcation (in the “canard” region). We also provide the conditions for imperfect phase locking between interspike intervals and low amplitude quasiharmonic oscillations. For the imperfect phase locking no need exists of an external signal as it follows from the FHN intrinsic dynamics.

Received 29 September 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.3431

Authors & Affiliations

V. A. Makarov¹, V. I. Nekorkin^1,2, and M. G. Velarde¹

¹Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid, 28040, Spain
²Radiophysical Department, Nizhny Novgorod St. University, Gagarin Avenue, 23, Nizhny Novgorod, 603600, Russia