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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 216, Pages 76–87 (Mi into1083)

Cycles of two competing macroeconomic systems within a certain version of the Goodwin model

D. A. Kulikova, O. V. Baevab

a P.G. Demidov Yaroslavl State University
b The Academy of Law Management of the Federal Penal Service of Russia

Abstract: In this paper, we examine the problem of competitive interaction of two macroeconomic systems. As the basic model, the well-known Goodwin model is chosen. We obtain sufficient conditions under which stable limit cycles can appear in the system considered.

Keywords: Goodwin model, competition, economic cycle, stability, bifurcation, asymptotic formula.

UDC: 517.929

MSC: 34C15, 34C23, 37N40

DOI: 10.36535/0233-6723-2022-216-76-87



© Steklov Math. Inst. of RAS, 2025