Wavetrain response of an excitable medium to local stochastic forcing

R. E. Lee DeVille, Eric Vanden Eijnden

Research output: Contribution to journalArticle

Abstract

We consider the effect of stochastic forcing on a one-dimensional excitable reaction-diffusion system, where the noise only acts on a small subdomain of the medium. We show that there are distinguished scaling limits in which the stochastic forcing gives rise to a mean response of a periodic wavetrain of pulses which are deterministic in the limit. Thus, the system responds coherently and periodically to stochastic forcing. This is an instance of self-induced stochastic resonance, which has previously only been analysed for finite-dimensional systems.

Original languageEnglish (US)
Article number004
Pages (from-to)51-74
Number of pages24
JournalNonlinearity
Volume20
Issue number1
DOIs
StatePublished - Jan 1 2007

Fingerprint

Excitable Media
Forcing
Excitable Systems
Stochastic Resonance
Scaling Limit
Reaction-diffusion System
scaling
pulses

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Wavetrain response of an excitable medium to local stochastic forcing. / Lee DeVille, R. E.; Vanden Eijnden, Eric.

In: Nonlinearity, Vol. 20, No. 1, 004, 01.01.2007, p. 51-74.

Research output: Contribution to journalArticle

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