Mathematical model of the dynamic interaction of product prices in related markets: the problem of limit cycles

Abstract

In the context of globalization, any shifts occurring in national economies become synchronous and interconnected. Globalization processes are manifested in the intensification of foreign economic relations, the development of financial cooperation, increased labor migration, etc. One of the main channels for synchronizing economic processes is international trade. A mathematical model of economic dynamics is proposed, which allows to detect the presence of cyclical processes in a small neighborhood near equilibrium positions. The study of the nature of these limit cycles allows to detect unstable dynamic regimes.