Home > Research > Publications & Outputs > Noise-induced escape in an excitable system

Associated organisational unit

Electronic data


Text available via DOI:

View graph of relations

Noise-induced escape in an excitable system

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article numberARTN 032116
<mark>Journal publication date</mark>7/03/2013
<mark>Journal</mark>Physical Review E
Issue number3
Number of pages11
Publication StatusPublished
<mark>Original language</mark>English


We consider the stochastic dynamics of escape in an excitable system, the FitzHugh-Nagumo (FHN) neuronal model, for different classes of excitability. We discuss, first, the threshold structure of the FHN model as an example of a system without a saddle state. We then develop a nonlinear (nonlocal) stability approach based on the theory of large fluctuations, including a finite-noise correction, to describe noise-induced escape in the excitable regime. We show that the threshold structure is revealed via patterns of most probable (optimal) fluctuational paths. The approach allows us to estimate the escape rate and the exit location distribution. We compare the responses of a monostable resonator and monostable integrator to stochastic input signals and to a mixture of periodic and stochastic stimuli. Unlike the commonly used local analysis of the stable state, our nonlocal approach based on optimal paths yields results that are in good agreement with direct numerical simulations of the Langevin equation. DOI: 10.1103/PhysRevE.87.032116

Bibliographic note

©2013 American Physical Society