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 language | English (US) |
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Article number | 004 |
Pages (from-to) | 51-74 |
Number of pages | 24 |
Journal | Nonlinearity |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2007 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics