Parametric Analysis of a Mathematical Model of a Catalytic Oscillator

Abstract

In some cases, a reaction in the oscillatory mode has a higher selectivity for the target product. To organize production in this mode, it is necessary to determine the conditions under which fluctuations occur, as well as to consider the very nature of the fluctuations. In this work, a parametric analysis of the basic kinetic model of an oscillatory reaction without autocatalysis was made. The boundaries of the parameters at which the system oscillates were found. Phase portraits of the system and bifurcation curves were constructed. Stationary states of the system were analyzed. The type and number of stationary states were identified. It was shown that the system at certain parameters has three stationary states: two unstable nodes and a saddle. Parametric analysis of basic models will allow selecting initial approximations for calculations of more complex models of real reactions.