Abstract

OPORTO ALMARAZ, S. A.  and  RAMIREZ AVILA, G. M.. NON-LINEAR PHENOMENA OF THE BELOUSOV - ZHABOTINSKY REACTION. STABILITY.. Revista Boliviana de Física [online]. 2013, vol.23, n.23, pp.16-28. ISSN 1562-3823.

Using the nonlinear differential equations of the Oregonator model to explain the Belousov-Zhabotinsky reaction, we classify the reactive fixed points into the parameter space. We obtain a stability region and an unstabilty one referred to a steady state and a limit cycle respectively; a Hopf bifurcation curve is established between both regions. This curve depends on a control parameter related to the acidity of the solution. Additionally to the theoretical analysis, we carried out experiments showing that the parameter space related to the concentrations is similar to that predicted by the Oregonator; and also an edge that has the same meaning as the bifurcation curve. We verify the dependence of this edge with the solution acidity. Other fixed points have a nonreactive feature while the reagents are not mixed. The agreement between the results from the model and the experiment gives rise to consider the importance of the Oregonator with two variables, approximation that gives, in general, satisfactory results.

Keywords : Nonlinear dynamics; Chemical reactions; Oscillations, chaos; and bifurcations; Complex chemical systems.

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