Geodesic
Delay effect and business cycles
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 217 (2022), pp. 41-50.

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In this paper, we study a mathematical model of macroeconomics known as “demand-supply” or “market model.” The classical version of this model has no cycles. We show that the introduction of a delay may lead to the appearance of periodic solutions, including stable solutions, and find the minimum value of such a delay. Our analysis is based on methods of the theory of dynamical systems with infinite-dimensional spaces of initial conditions. For periodic solutions detected, we obtain asymptotic formulas.
Keywords: model “supply-demand”, delay, stability, asymptotics.
Mots-clés : bifurcation 
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D. A. Kulikov. Delay effect and business cycles. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 217 (2022), pp. 41-50. http://geodesic.mathdoc.fr/item/INTO_2022_217_a5/

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