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

For citation:

Matrosov V. V., Shalfeev V. D. Simulation of business and financial cycles: Self-oscillation and synchronization. Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, vol. 29, iss. 4, pp. 515-537. DOI: 10.18500/0869-6632-2021-29-4-515-537

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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: 
10.18500/0869-6632-2021-29-4-515-537

Simulation of business and financial cycles: Self-oscillation and synchronization

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

The purpose of this work is to research the phenomena of the self-oscillation and the synchronization for the model of business and financial oscillator, which presented as the system of automatic control. Methods. The research methods are the qualitative and numerical methods of the theory of nonlinear dynamical systems and the theory of the bifurcations. Results. This work presents the model of business and financial oscillators as the phase-controlled oscillator and as the frequency-controlled oscillator. The phenomena of the self-oscillation of regular and chaotic oscillations in this model and the synchronization of such oscillations are considered.

Key words: 
business cycles
financial cycles
dynamical chaos
synchronization
Acknowledgments: 
The work was carried out within the framework of the Program for the Development of the Regional Scientific and Educational Mathematical Center “Mathematics of Future Technologies”, project № 075-02-2020-1483/1, and with the support of the Ministry of Education and Science of the Russian Federation within the framework of the state task (agreement 0729-2020-0040). The authors are grateful to M. I. Rabinovich for drawing attention to this topic, useful comments and tips on work
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Received: 
09.03.2021
Accepted: 
21.05.2021
Published: 
30.07.2021
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