Effects of noise on a model of oscillatory chemical reaction

被引：0

作者：

Department of Chemistry, Institute of Functional Materials, Inje University, Gimhae, Kyungnam 621-749, Korea, Republic of ^{[1
]}

不详 ^{[2
]}

机构：

[1] Department of Chemistry, Institute of Functional Materials, Inje University, Gimhae

[2] Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore

来源：

Bull. Korean Chem. Soc. | 2006年 / 10卷 / 1525-1530期

关键词：

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

D O I：

10.5012/bkcs.2006.27.10.1525

中图分类号：

学科分类号：

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.

引用

页码：1525 / 1530

页数：5

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