Effects of Noise on a Model of Oscillatory Chemical Reaction

Bulletin of the Korean chemical society

Biman Bagchi¹  Do Young Park¹  Sang Joon Choe¹  C. Basavaraja¹  Do Sung Huh¹  Hyun Tae Park¹  Young Min Choi¹ 

关键词: Temporal oscillations;    Stochastic variable;    Noise;    Bifurcation;    Far from equilibrium and fluctuations;   

DOI  :  

学科分类：化学（综合）

来源: Korean Chemical Society

【 摘 要 】

A simple oscillating reaction model subject to additive Gaussian white noise is investigated as the model is located in the dynamic region of oscillations. The model is composed of three ordinary differential equations representing the time evolutions of X, Y, and Z, respectively. Initially, a uniform random noise is separately added to the three equations to study the effect of noise on the oscillatory cycle of X, Y, and Z. For a given value of noise intensity, the amplitude of oscillation increases monotonically with time. Furthermore, the noise is added to any one of the three equations to study the impact of noise on one species on the bifurcation behavior of the other.

【 授权许可】

Unknown