Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction

Abstract

Recebido em 23/1/06; aceito em 3/7/06; publicado na web em 7/2/07Simulations have been carried out on the bromate -oxalic acid -Ce(IV) -acetone oscillating reaction, under flow conditions, using Field and Boyd's model (J. Phys. Chem. 1985, 89, 3707). Many different complex dynamic behaviors were found, including simple periodic oscillations, complex periodic oscillations, quasiperiodicity and chaos. Some of these complex oscillations can be understood as belonging to a Farey sequence. The many different behaviors were systematized in a phase diagram which shows that some regions of complex patterns were nested with one inside the other. The existence of almost all known dynamic behavior for this system allows the suggestion that it can be used as a model for some very complex phenomena that occur in biological systems.

Mapping Sequential Oscillations in the Bromate–Oxalic Acid–Acetone–Ce(IV) Reaction

“…Using this mechanism, Pereira and Faria observed several complex behaviors for this system by computer modeling, some of them not observed experimentally yet. Experimental work on this system has shown that for the oscillations to start, it is necessary for some Ce 4+ to be changed to Ce 3+ .…”