Stability of Equilibrium and Bifurcation Behavior of the Production and Economic System

Abstract

The key problems of the analysis of nonlinear dynamic systems are considered on the example of an open production and economic system. A qualitative analysis (by phase trajectories) of the structural instability of the equilibrium states of the system is carried out depending on the economic parameters that have the most significant impact on the static and dynamic characteristics of the system. Critical modes of functioning of the "demand and supply" system are identified and the region of its stability is constructed in three-dimensional space depending on the significant key parameters.