Izvestiya VUZ. Applied Nonlinear Dynamics
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Izvestiya VUZ. Applied Nonlinear Dynamics, 2023, Volume 31, Issue 3, Pages 254–270
DOI: https://doi.org/10.18500/0869-6632-003037
(Mi ivp530)
 

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

Coupled economic oscillations - synchronization dynamical model

V. V. Matrosov, V. D. Shalfeev

National Research Lobachevsky State University of Nizhny Novgorod, Russia
References:
Abstract: Purpose of this work is the research of the dynamical processes and in particular the phenomenon of the synchronization in an ensemble of coupled chaotic economic oscillators. Methods. The research methods are the qualitative and numerical methods of the theory of nonlinear dynamical systems and the theory of the bifurcations. Results. The nonlinear model of economic oscillator as the system of automatic control are considered. Such kind of general economic models are unsuitable for getting some concrete economic estimations and recommendations. But such kind models are very useful for a development the theory of the economic cycles, theory of the generation, interactions, synchronization of the cycles and so on. Our numerical experiments demonstrated a good enough qualitative similarity of an chaotic economic oscillations in our model and real economic cycles. The phenomen of the synchronization of the chaotic oscillations in the ensemble of coupled economic oscillators are considered, however the accuracy of the synchronization depends with couplings essentially.
Keywords: economic oscillation, dynamical chaos, synchronization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSWR-2023-0031
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project No. FSWR-2023-0031). Authors are grateful to M. I. Rabinovich and V. P. Рonomarenko for useful discussions and tips.
Received: 17.10.2022
Bibliographic databases:
Document Type: Article
UDC: 338.12; 519.6; 530.182.2; 621.37
Language: Russian
Citation: V. V. Matrosov, V. D. Shalfeev, “Coupled economic oscillations - synchronization dynamical model”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:3 (2023), 254–270
Citation in format AMSBIB
\Bibitem{MatSha23}
\by V.~V.~Matrosov, V.~D.~Shalfeev
\paper Coupled economic oscillations - synchronization dynamical model
\jour Izvestiya VUZ. Applied Nonlinear Dynamics
\yr 2023
\vol 31
\issue 3
\pages 254--270
\mathnet{http://mi.mathnet.ru/ivp530}
\crossref{https://doi.org/10.18500/0869-6632-003037}
\edn{https://elibrary.ru/INVKIQ}
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