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Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle

Irina Bashkirtseva1,*, Alexander B. Neiman2,†, and Lev Ryashko1,‡

  • 1Department of Mathematics, Ural Federal University, Pr. Lenina 51, Ekaterinburg, Russia
  • 2Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA

  • *irina.bashkirtseva@usu.ru
  • †neimana@ohio.edu
  • ‡lev.ryashko@usu.ru
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Phys. Rev. E 87, 052711 – Published 17 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052711

Abstract

We study effect of weak noise on the dynamics of a hair bundle model near the excitability threshold and near a subcritical Hopf bifurcation. We analyze numerically noise-induced structural changes in the probability density and the power spectral density of the model. In particular, we show that weak noise can induce oscillations with two distinct frequencies in both excitable and limit-cycle regimes. We then applied a recently developed technique of stochastic sensitivity functions which allows us to estimate threshold values of noise intensity corresponding to these transitions.

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Phys. Rev. E 87, 052711– Published 17 May, 2013
  • Received 17 January 2013

©2013 American Physical Society

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