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The Brusselator is a model, proposed in 1968 by R. Lefever and the Nobel Prize winner I. Prigogine, for an autocatalytic, oscillating chemical reaction. The mechanism for the reaction is given by:

We assume that the concentration of the reactants a=[A] and b=[B] is kept artificially constant and are interested in the evolution of the intermediate products, x = [X] and y = [Y]. This system can exhibit, for appropriate values of the parameters, unexpected oscillatory behavior. (Hint: Increase the value of k2.)
The simulation plots a set of sample trajectories in phase-space, which start from different initial conditions, for the same values of the parameters.

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Brusselator applet

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Page last modified on April 29, 2009, at 12:11 AM