The state space of a model for the Bray-Liebhafsky oscillating reaction |
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Authors: | G Schmitz Lj Kolar-Anić |
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Institution: | (1) Faculte des Sciences Appliques, CP165/63, Universite Libre de Bruxelles, Av. F. Roosevelt 50, 1050 Bruxelles, Belgium;(2) Faculty of Physical Chemistry, University of Belgrade, P.O. Box 137, Studensky trg 12–16, YU-11001 Belgrade, Serbia |
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Abstract: | It has been known for a long time that the decomposition of hydrogen peroxide catalyzed by hydrogen and iodate ions, the Bray-Liebhafsky
reaction, can generate oscillations in a batch reactor. Recently, mixed-mode oscillations and chaos have also been observed
in a CSTR. The model we had previously proposed to explain the kinetics in a batch reactor can also simulate these new complex
behaviors. Time series give only a limited view of the features of the calculated behaviors and more information is obtained
studying the properties of the state space. We use projections of the trajectories, calculation of the correlation dimension
of the attractor, Poincaré sections, and return maps. As the state space of the model is six-dimensional, we try to answer
the questions of whether the projections into a 3D subspace give correct pictures of the real trajectories and whether we have reasons to prefer a special subspace.
The text was submitted by the authors in English. |
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