Skip to main content
Log in

Simulation of the Business-Cycle Synchronization Processes in an Ensemble of Coupled Economic Oscillators

  • Published:
Radiophysics and Quantum Electronics Aims and scope

We develop a dynamical model of an economic (financial) oscillator on the basis of the theory of automatic-control systems. Numerical experiments with the proposed model demonstrate the possibility of generating chaotic economic oscillations and their synchronization in an ensemble of coupled economic oscillators.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A.V. Gaponov-Grekhov and M. I.Rabinovich, Nonlinearities in Action: Oscillations, Chaos, Order, Fractals, Springer-Verlag, New York (1992)

  2. W.Weidlich, Sociodynamics: A Systematic Approach to Mathematical Modelling in Social Sciences, CRC Press, Boca Raton, Fl (2000).

    MATH  Google Scholar 

  3. A.A.Koronovskii and D. I.Trubetskov, Noninear Dynamics in Action: Penetration of the Ideas of Nonlinear Dynamics to Ecology, Economy, and Social Sciences [in Russian], Saratov (2002).

  4. V. V. Matrosov and V. D. Shalfeev, Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Din., 29, No. 4, 515–537 (2021). 10.18500/0869-6632-2021-29-4-515-537

  5. V. S.Afraimovich, N.N.Verichev, and M. I.Rabinovich, Radiophys. Quantum Electron., 29, No. 9, 795–803 (1986). https://doi.org/10.1007/BF01034476

    Article  ADS  Google Scholar 

  6. H. Fujisaka and T.Yamada, Prog. Theor. Phys., 69, No. 1, 32–47 (1983). https://doi.org/10.1143/PTP.69.32

    Article  ADS  Google Scholar 

  7. Yu.A.Kuznetsov, Ékonom. Anal. Teor. Prakt., No. 17, 50–61 (2011).

  8. M. Vlasenko and I.Yuzefal’chik, Bankaus. Vesn., No. 12, 9–17 (2018).

  9. L.R.Weinstock, Congres. Res. Service, In Focus, IF10411 (2020).

  10. E. Mosekilde, E. K. Larsen, J.D. Starman, and J. S. Thomsen, Ann. Operat. Res., No. 37, 185–215 (1992). 10.1007/BF02071056

  11. Y. S. Sch´’uler, P.P. Hiebert, and T.A.Peltonen, ECB Working Paper, No. 1846 (2015). https://doi.org/10.2866/22606

  12. D. Guegan, Ann. Rev. Contr., 33, No. 1, 89–93 (2009) https://doi.org/10.1016/j.arcontrol.2009.01.002

    Article  Google Scholar 

  13. M. Baxter and R.G.King, Rev. Econ. Stat., 81, No. 4, 575–593 (1999). https://doi.org/10.1162/003465399558454

    Article  Google Scholar 

  14. G. Galati, I.Hindrayanto, S. I.Koopman, and M. Vlekke, Econ. Lett., 145, 83–87 (2016). https://doi.org/10.1016/j.econlet.2016.05.034

    Article  Google Scholar 

  15. G. Dell’Ariccia, Eur. Econ. Rev., 45, No. 10, 32–46 (2001). https://doi.org/10.1016/S0014-2921(00)00085-4

    Article  Google Scholar 

  16. S. Claessens, M.Kose, and M.Terrones, J. Int. Econ., 87, No. 1, 178–190 (2012). https://doi.org/10.1016/j.jinteco.2011.11/008

    Article  Google Scholar 

  17. Y.Ma and J. Zhang, Int. J. Fin. Econ., 21, No. 4, 502–527 (2016). https://doi.org/10.1002/ijfe.1566

    Article  Google Scholar 

  18. D. Harding and A. A.Pagan, J. Econ. Dyn. Control, 27, No. 9, 1681–1690 (2003). https://doi.org/10.1016/S0165-1889(02)00076-3

    Article  Google Scholar 

  19. W. Oman, Int. J. Centr. Bank., No. 57, 327–362 (2019).

  20. W. Znang, J. Cao, A. Alsaedi, and F.E. S.Alsaadi, Discr. Dyn. Nat. Soc., ID1230396 (2017). 10.1155/2017/1230396

  21. L. Filer and D. D. Selover, Int. J. Fin. Res., 5, No. 3, 20–42 (2014). https://doi.org/10.5430/ijfr.v5n3p20

    Article  Google Scholar 

  22. Y. S. Schüler, P.H.Hiebert, and T.A.Peltonen, ESRB Working Paper Ser., No. 43 (2017). https://doi.org/10.2849/872841

  23. A. M. Lopes, J. A. Machado, J. S. Haffslot, and M.E.Mata, PloS ONE, 13, No. 2, e0191491 (2018). https://doi.org/10.1371/journal.pone.0191491

    Article  Google Scholar 

  24. J. Lee, J. Int. Glob. Econ. Stud., 3, No. 1, 41–59 (2010).

    Google Scholar 

  25. E. Monnet and D. Puy, IMF Working Paper, No. 16/54 (2016). https://doi.org/10.2139/ssrn.2770289

  26. N. J. McCullen, M.V. Ivanchenko, V.D. Shalfeev, and W. F. Gale, Int. J. Bifur. Chaos, 21, No. 9, 2467–2480 (2011). https://doi.org/10.1142/s0218127411030076

    Article  Google Scholar 

  27. V. D. Shalfeev and V.V.Matrosov, Nonlinear Dynamics of the Phase-Synchronization Systems [in Russian], Nizhny Novgorod Univ., Nizhny Novgorod (2013).

    Google Scholar 

  28. V.P.Ponomarenko, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 5, No. 5, 44–55 (1997).

    Google Scholar 

  29. V.P.Ponomarenko and I.A. Zaulin, Radiotekh. Élektron., 42, No. 7, 828–835 (1997).

    Google Scholar 

  30. A.A.Andronov, A.A.Vitt, and S. E.Khaikin, Theory of Oscillations, Pergamon, Oxford (1966).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Matrosov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 10, pp. 833–843, October 2021. Russian DOI: https://doi.org/10.52452/00213462_2021_64_10_833

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Matrosov, V.V., Shalfeev, V. Simulation of the Business-Cycle Synchronization Processes in an Ensemble of Coupled Economic Oscillators. Radiophys Quantum El 64, 750–759 (2022). https://doi.org/10.1007/s11141-022-10176-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-022-10176-1

Navigation