Effects of Noise on a Model of Oscillatory Chemical Reaction

Basavaraja, C and Bagchi, Biman and Park, Do Young and Choi, Young Min and Park, Hyun Tae and Choe, Sang Joon and Huh, Do Sung (2006) Effects of Noise on a Model of Oscillatory Chemical Reaction. In: Bulletin of the Korean Chemical Society, 27 (10). pp. 1525-1530.

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Abstract

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.

Item Type:	Journal Article
Publication:	Bulletin of the Korean Chemical Society
Publisher:	Korean Chemical Society
Additional Information:	Copyright of this article belongs to Korean Chemical Society.
Keywords:	Temporal oscillations;Stochastic variable;Noise;Bifurcation;Far from equilibrium and fluctuations
Department/Centre:	Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Date Deposited:	14 Jan 2008
Last Modified:	19 Sep 2010 04:38
URI:	http://eprints.iisc.ac.in/id/eprint/11357

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