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Bulletin of the Korean Chemical Society (BKCS)

ISSN 0253-2964(Print)
ISSN 1229-5949(Online)
Volume 27, Number 10
BKCSDE 27(10)
October 20, 2006 

Effects of Noise on a Model of Oscillatory Chemical Reaction
C. Basavaraja, Biman Bagchi, Do Young Park, Young Min Choi, Hyun Tae Park, Sang Joon Choe, Do Sung Huh*
Temporal oscillations, Stochastic variable, Noise, Bifurcation, Far from equilibrium and fluctuations
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.
1525 - 1530
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