Stochastic resonance in the Brusselator model

Citation
Vv. Osipov et Ev. Ponizovskaya, Stochastic resonance in the Brusselator model, PHYS REV E, 61(4), 2000, pp. 4603-4605
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
4
Year of publication
2000
Part
B
Pages
4603 - 4605
Database
ISI
SICI code
1063-651X(200004)61:4<4603:SRITBM>2.0.ZU;2-J
Abstract
Using the Brusselator model, we show that in a simple dynamical system smal l noise can be converted into stochastic spikewise oscillations of huge amp litude (bursting noises) in the vicinity of a Hopf bifurcation. Small perio dic signals with amplitude several times less than the noise intensity tran sform these stochastic oscillations into quasiperiodic large-amplitude spik ewise oscillations or small-amplitude quasiharmonic oscillations, depending on the signal form.