For citation:
Matrosov V. V., Shalfeev V. D. Dynamic model of economic cycles origin. Izvestiya VUZ. Applied Nonlinear Dynamics, 2025, vol. 33, iss. 4, pp. 513-530. DOI: 10.18500/0869-6632-003167, EDN: QXMAJO
Dynamic model of economic cycles origin
The purpose of the work is to research the phenomenon of the self-oscillation of the economic cycles for the model of the network with different types of element couplings (cooperative and competitive). As the element of the production network there are considered the typical system of automatic control of the added value,which determines the profitability of production.
Methods. The research methods of the theory of nonlinear dynamic systems.
Results. Modeling of nonlinear dynamics of small ensembles of connected production elements indicates the significant role of connections, in particular, the antagonistic (competitive) relationships lead to the emergence of regular and irregular economic fluctuations (cycles).
- Kuznetsov YA. Mathematical modeling of economic cycles: facts, concepts, results. Economic Analysis: Theory and Practice. 2011;10(17):50–61 (in Russian).
- Kuznetsov YA. Mathematical modeling of economic cycles: facts, concepts, results (end). Economic Analysis: Theory and Practice. 2011;10(18):42–56 (in Russian).
- Matrosov VV, Shalfeev VD. Simulation of business and financial cycles: Self-oscillation and synchronization. Izvestiya VUZ. Applied Nonlinear Dynamics. 2021;29(4):515–537 (in Russian). DOI: 10.18500/0869-6632-2021-29-4-515-537.
- Matrosov VV, Shalfeev VD. Simulation of the business-cycle synchronization processes in an ensemble of coupled economic oscillators. Radiophys. Quantum Electron. 2022;64(10): 750-759. DOI: 10.1007/s11141-022-10176-1.
- Samuelson P., Nordhaus W. Economics. New York: McGraw Hill; 1992. 784 p.
- Baxter M, King RG. Measuring business cycles: approximate band-pass filter for economic time series. The Review of Economics and Statistics. 1999;81(4):575–593. DOI: 10.1162/00346539955 8454.
- Hansen AH. Business Cycles and National Income. New York: Norton, 1951. 639 p.
- Lebedeva AS. The genesis of economic cycle theory. Int. Research Journal. 2013;(8):31–34.
- Vechkanov GS, Vechkanova GR. Macroeconomics. M.: Piter; 2002. 240 p.
- McCullen NJ, Ivanchenko MV, Shalfeev VD, Gale WF. A dynamical model of decision-making behaviour in network of consumers withb application to energy choices. Int. J. Bifurc. Chaos. 2011;21(9):2467–2480. DOI: 10.1142/S02.18127411030076.
- Shalfeev V, Matrosov VV. Nonlinear Dynamics of Phase Synchronization Systems. Nizhny Novgorod: Nizhny Novgorod University Publishing; 2013. 366 p. (in Russian).
- Andronov AA, Vitt AA, Khaikin SE. Theory of Oscillators. New York: Dover Publ.; 1987. 815 p.
- Matrosov VV. Dynamics of Nonlinear Systems: Software Complex for Studying Nonlinear Dynamical Systems with Continuous Time. Nizhny Novgorod: Nizhny Novgorod University Publishing; 2002. 54 p. (in Russian).
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