Noise-induced escape in an excitable system

Khovanov, I. A. and Polovinkin, A. V. and Luchinsky, D. G. and McClintock, P. V. E. (2013) Noise-induced escape in an excitable system. Physical Review E, 87 (3). ISSN 1539-3755

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Abstract

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

Item Type:
Journal Article
Journal or Publication Title:
Physical Review E
Additional Information:
©2013 American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
ID Code:
63261
Deposited By:
Deposited On:
05 Apr 2013 07:56
Refereed?:
Yes
Published?:
Published
Last Modified:
19 Sep 2020 02:35