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Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 191, Pages 129–134 (Mi into772)

On the Huygens effect and points of hopelessness in the T. Puu macroeconomic model

M. V. Polovinkina, I. P. Polovinkin, S. A. Rabeeakh

Voronezh State University

Abstract: We consider the macroeconomic model proposed by T. Puu, which describes fluctuations in gross income in a given region. Under a special combination of savings and investment rates, income deviations occur only for a finite period of time, after which the income returns to a stationary state. In mathematical physics, this effect is called the Huygens effect (principle). Results of the study of the model by statistical methods allow one to speak about the plausibility of the hypothesis about the presence of the Huygens effect in certain periods of the history of the Russian economy. The question on the structure of the set of stationary zeros of nontrivial solutions of a stationary equation is considered.

Keywords: income distribution model, Huygens principle, Cauchy problem, dependence domain, stationary zeros of the solution.

UDC: 517.956.326, 519.862.5

MSC: 35L81, 91B64

DOI: 10.36535/0233-6723-2021-191-129-134


 English version:
Journal of Mathematical Sciences (New York), 2025, 288:6, 794–799


© Steklov Math. Inst. of RAS, 2026