Enhancement of internal signal stochastic resonance by noise modulation inthe CSTR system

A two-variable model, which was proposed to describe a first-order, exother mic. 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 tau, near the supercr itical 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 stochasti c resonance (ISSR). Furthermore, the NICO strength also shows resonance beh avior with the variation of tau, indicating an accessible way to enhance IS SR by noise modulation. These behaviors are also observed when the noise de lay is exponentially distributed.