噪声性质对B-Z流动反应体系随机共振影响的模拟

用一个三变量的B-Z流动反应模型研究当流速参数kf在Hopf分岔点附近被色噪声和白噪声调制后系统动力学的行为. 通过计算机模拟观察到噪声诱导的振荡以及随机共振(stochastic resonance)现象, 以及色噪声的相关时间和白噪声的持续时间对随机共振行为的影响.     

Simulation of noise characteristic effects on stochastic resonance in Belousov-Zhabotinsky flow reaction

A three-variable model, which was proposed to account for the stochastic resonance (SR) in Belousov-Zhabotinsky (B-Z) reaction in a continuous-flow stirred-tank reactor, is investigated when the control parameter kr, the flow rate, is modulated by noise near supercritical Hopf bifurcation point. Using the computer simulation, noise-induced oscillations are observed, and the signal-to-noise ratio (SNR) goes through a maximum with the increment of noise intensity, which means occurrence of stochastic resonance. in addition, we have also investigated the effects of correlation time of colored noise and the duration time of white noise on the system's dynamics.