Areas of stability of the dynamic equilibrium points of a chemical reactor

This article develops a method for determining the areas of attraction of trajectories by stable points of dynamic equilibrium. This method is based on determining a line separating these areas. In the case of n-fold equilibrium states, there are a maximum of (n + 1)/2 regions of attraction. This is the maximum number of stable states. It may also happen that none of the states are stable and then there will not be any area of attraction. The number of all states n is odd. In the case of single stable states, we are dealing with one unlimited region of attraction. In the case of three-fold equilibrium states, two of which are stable, there are two regions of attraction, etc. In this study, the case of three-fold dynamic equilibrium states of a chemical tank reactor is considered.