Abstract
We study the dynamics of a macroeconomic system formed by the interacting national income, interest rate, and price level. This dynamics can be described by a discrete system in the three-dimensional space. We study this system and show that there is a curve formed by fixed points that give equilibria on the market of money, commodities, and services. We prove that there exists a foliation transverse to the curve each layer of which is an integral manifold for the system. In the direction transverse to the layers, the dynamics changes from the equilibrium state to chaos. The paper contains both the theoretical results and the data of numerical experiments. We also consider perturbations of the system by small random uncontrolled actions simulating, in a natural way, the environmental influence on the system.
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