Regularities in Complex Transient Oscillations in the Belousov−Zhabotinsky Reaction in a CSTR

Abstract

The Belousov−Zhabotinsky reaction (bromate−malonic acid−ferroin) exhibits regular sequences of complex (large and small amplitude) transient oscillations in a CSTR as well as in a batch reactor. General features of the dynamics in both type experiments are explained in a qualitative way using a simple model proposed recently for batch conditions.

Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system

“…Particularly, substituting the parameter q by a variable whose dynamics does not depend on v, u, or p and changes monotonically in time describes transient mixed modes observed for the BZ reaction in batch 19 and in a CSTR. 20 Moreover, our results have been helpful in successful experimental searches of LS i s j patterns in the BZ system in CSTR. 13 It is noteworthy that the patterns of v and u described in this paper do not correspond those for p. This fact is important in experiments in which concentrations of one or two reagents are usually measured.…”

“…Recently, we have introduced a simple three-variable model that describes LS i mixed-mode oscillations in chemical systems. 13,[18][19][20] We have illustrated that adding a fourth variable, which dynamics is not affected by remaining variables, describes LS i transient patterns observed in the BZ reaction in batch 19 and CSTR. 20 In the present paper we show that the three-variable model is also capable to describe the LS i s j patterns.…”

Catalyst, Co-ion and the media effect on the oscillatory behavior of resorcinol in the BZ reaction

“…In this system n = 1, so we can have only one small amplitude oscillation between two larger amplitude oscillations. Such behavior of periodic mixed mode oscillations can be explained by considering the models 42,43 that qualitatively describe regularities observed in transients as well as asymptotic mixed mode oscillations in the BZ reaction. The variables can be treated as autocatalytic reagent i.e., ].…”

Period-Adding Bifurcations in Mixed-Mode Oscillations in the Belousov−Zhabotinsky Reaction at Various Residence Times in a CSTR

“…9,10 All experiments were carried out in a CSTR at a temperature of 21°C. The total volume of the reaction mixture was 40 cm 3 , and the stirring rate was 900 rpm.…”