Izvestiya VUZ. Applied Nonlinear Dynamics
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Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, Volume 29, Issue 4, Pages 515–537
DOI: https://doi.org/10.18500/0869-6632-2021-29-4-515-537 (Mi ivp432) 		 
This article is cited in 5 scientific papers (total in 5 papers)

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

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

V. V. Matrosov, V. D. Shalfeev

National Research Lobachevsky State University of Nizhni Novgorod, Russia
Full-text PDF (2180 kB) Citations (5)
DOI: https://doi.org/10.18500/0869-6632-2021-29-4-515-537
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.
Keywords: business cycles, financial cycles, dynamical chaos, synchronization.
Funding agency Grant number
Программа развития регионального научно-образовательного математического центра «Математика технологий будущего» 075-02-2020-1483/1
Ministry of Science and Higher Education of the Russian Federation 0729-2020-0040
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).
Received: 09.03.2021
Bibliographic databases:
Document Type: Article
UDC: 338.12; 519.6; 530.182.2; 621.37
Language: Russian
Citation: V. V. Matrosov, V. D. Shalfeev, “Simulation of business and financial cycles: self-oscillation and synchronization”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:4 (2021), 515–537
Citation in format AMSBIB
\Bibitem{MatSha21}
\by V.~V.~Matrosov, V.~D.~Shalfeev
\paper Simulation of business and financial cycles: self-oscillation and synchronization
\jour Izvestiya VUZ. Applied Nonlinear Dynamics
\yr 2021
\vol 29
\issue 4
\pages 515--537
\mathnet{http://mi.mathnet.ru/ivp432}
\crossref{https://doi.org/10.18500/0869-6632-2021-29-4-515-537}
\elib{https://elibrary.ru/item.asp?id=46369817}
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  • https://www.mathnet.ru/eng/ivp/v29/i4/p515
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Izvestiya VUZ. Applied Nonlinear Dynamics
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