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

Abstract

Periodic patterns of mixed-mode oscillations with successive numbers of small-amplitude oscillations followed by one large-amplitude oscillation (period-adding phenomenon) have been observed in the asymptotic regime of the Belousov−Zhabotinsky reaction (bromate−malonic acid−ferroin) in a CSTR (continuously stirred tank reactor) at decreasing residence times. Such period adding has been predicted by a simple model proposed recently for a qualitative description of asymptotic and transient oscillations observed in the BZ system. Patterns qualitatively corresponding to the experimental ones are obtained in this model.