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On the accurate characterization of business cycles in nonlinear dynamic financial and economic systems

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  • Dimitri O. Ledenyov
  • Viktor O. Ledenyov

Abstract

The accurate characterization of the business cycles in the nonlinear dynamic financial and economic systems in the time of globalization represents a formidable research problem. The central banks and other financial institutions make their decisions on the minimum capital requirements, countercyclical capital buffer allocation and capital investments, going from the precise data on the business cycles. We consider the two possible interaction scenarios, when there are: the linear interactions, and the non-linear interactions. In our opinion, the main parameters of the business cycle may deviate during the business cycle nonlinear interaction with the nonlinear dynamic financial and economic systems, because of the origination of the nonlinear effects such as the Four Waves Mixing (FWM), Stimulated Brillouin Scattering (SBS), Stimulated Raman Scattering (SRS), Carrier Induced Phase Modulation.

Suggested Citation

  • Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the accurate characterization of business cycles in nonlinear dynamic financial and economic systems," Papers 1304.4807, arXiv.org.
    • Handle: RePEc:arx:papers:1304.4807
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    1. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "Some thoughts on accurate characterization of stock market indexes trends in conditions of nonlinear capital flows during electronic trading at stock exchanges in global capital markets," MPRA Paper 49921, University Library of Munich, Germany.
    2. Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the theory of firm in nonlinear dynamic financial and economic systems," Papers 1302.6721, arXiv.org, revised Mar 2013.
    3. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "On the Stratonovich – Kalman - Bucy filtering algorithm application for accurate characterization of financial time series with use of state-space model by central banks," MPRA Paper 50235, University Library of Munich, Germany.
    4. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "To the problem of evaluation of market risk of global equity index portfolio in global capital markets," MPRA Paper 47708, University Library of Munich, Germany, revised 20 Jun 2013.
    5. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    6. Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "To the problem of turbulence in quantitative easing transmission channels and transactions network channels at quantitative easing policy implementation by central banks," Papers 1305.5656, arXiv.org, revised May 2013.
    7. Tomás Gutiérrez-Barbarrusa, 2019. "The interpretation of the cyclical history of capitalism. A comparison between the neo-Schumpeterian and social structure of accumulation (SSA) approaches in light of the long wave theory," Journal of Evolutionary Economics, Springer, vol. 29(4), pages 1285-1314, September.

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