Journal
PHYSICAL REVIEW E
Volume 61, Issue 4, Pages 4603-4605Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.61.4603
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Using the Brusselator model, we show that in a simple dynamical system small noise can be converted into stochastic spikewise oscillations of huge amplitude (bursting noises) in the vicinity of a Hopf bifurcation. Small periodic signals with amplitude several times less than the noise intensity transform these stochastic oscillations into quasiperiodic large-amplitude spikewise oscillations or small-amplitude quasiharmonic oscillations, depending on the signal form.
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