Nonlinear System Noise On The Role Of Electrochemical Oscillations And Stochastic Resonance

The study of nonlinear phenomena in chemistry has attracted wide interests as the development of nonlinear science. The chemical nonequilibrium systems show complex dynamic behavior of temporal or spatial, and nonlinear chemistry is growing its power as a new cross-linked field, which have extensive potential.Generally speaking, noise can be called as fluctuation or stochastic power, and it reflects the effect of microcosmic particle on the evolvement of macroscopical variable. People always consider noise as a nuisance and have tried to minimize it. However, it shows that noise can play destructive or constructive roles due to plentiful works of recent years. The research objects of this lecture mainly are the two aspects thereinafter: 1)noise can change the characteristic of bifurcation and induce new spatio-temporal pattern, such as noise-induced oscllation;2) the cooperative effect of noise and signal in nonlinear systems, i.e. stochastic resonance(SR),in which the signal-to-noise of deferent signal can show maximum value as the increase of the noise intensity.We mainly study the internal signal stochastic resonance in which there isn't any external signal. However, the ISSR can be divided into implicit internal signal stochastic resonance and explicit internal signal stochastic resonance. The internal signal of the former comes from the correlative oscillation which hides in original system and can not behave without noise, on the other hand, the signal of the later is derived from the inherent periodic oscillation of the system, whose exist doesn't depend on noise.The paper is divided into four chapters:In chapter 1, we summarize the effect of noise on electrochemical oscillation and stochastic resonance in nonlinear systems, and review the electrochemical oscillation's character and research progress in experiment and theory, and introduce the stochastic resonance's principle, means of test and research progress.In chapter 2, we use the model of electrochemical oxidation of formic acid, firstly we simulate its electrochemical oscillation, and then have a numerical simulation on noise-induced correlative oscillation and the phenomenon of explicit internal signal stochastic resonance. In the model, we choose the applying current as the control parameter, and the white noise is added,...