One variable map prediction of Belousov–Zhabotinskii mixed mode oscillations

Abstract

The structure of the nonlinear dynamics of the Belousov–Zhabotinskii reaction in a continuously stirred tank reactor is studied via a new one-dimensional discrete dynamical system (map). The map, obtained from an Oregonator differential equation model, is defined on all domains of interest and for a wide range of flow rates. It predicts the qualitative behavior of complex oscillation patterns observed for the differential equations as a function of flow rate. These patterns correspond to the multiple peak oscillations observed experimentally by Hudson et al. The derived map exhibits the tangent bifurcation structure associated with intermittency. However, for this model, that intermittency does not appear to be chaotic over a detectable parameter range.