ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Matrosov V. V., Shalfeev V. D. Coupled economic oscillations — synchronization dynamical model. Izvestiya VUZ. Applied Nonlinear Dynamics, 2023, vol. 31, iss. 3, pp. 254-270. DOI: 10.18500/0869-6632-003037, EDN: INVKIQ

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
338.12; 519.6; 530.182.2; 621.37
DOI: 
10.18500/0869-6632-003037
EDN: 
INVKIQ

Coupled economic oscillations — synchronization dynamical model

Autors: 
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Shalfeev Vladimir Dmitrievich, Lobachevsky State University of Nizhny Novgorod
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.

Key words: 
economic oscillation
dynamical chaos
synchronization
Acknowledgments: 
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
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Received: 
17.10.2022
Accepted: 
15.12.2022
Available online: 
14.04.2023
Published: 
31.05.2023
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