Abstract
A two-variable model, which was proposed to describe a first-order, exothermic, irreversible reaction A → B carried out in a continuous stirred tank reactor (CSTR), is investigated when the control parameter is perturbed by Gaussian shot noise, which contains a constant delay τ, near the supercritical Hopf bifurcation point. Noise-induced coherent oscillation (NICO) is observed, the strength of which goes through a maximum with the increment of the noise intensity, showing the occurrence of internal signal stochastic resonance (ISSR). Furthermore, the NICO strength also shows resonance behavior with the variation of τ, indicating an accessible way to enhance ISSR by noise modulation. These behaviors are also observed when the noise delay is exponentially distributed.
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