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Moving Limit Cycles Model of an Economic System

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

We consider a model explaining the dependence between the productivity of labor (PL) and the fixed capital per worker (FC) in an economic system. The core of the model is a nonlinear oscillator with a limit cycle as an attractor. We run numerical simulations of the dynamics specific to this non-autonomous model to compare with the actual data recorded for the years 1987–2001 for the enterprise Omsk Bacon. Based on the numerical analysis we can conclude that the interior dynamics is not affected by exterior perturbations. The numerical simulations can help the managers of the enterprise to take the right steps to avoid stagnation.

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References

  1. Andronov, A.A., Witt, A.A., Haikin, S.E.: Oscillation Theory. Physmatgiz, Moscow (1959)

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  2. Choquet-Bruhat, Y., DeWitt-Morette, C.: Analysis, Manifolds and Physics, Part 1: Basics. Elsevier Science B.V., North Holland (1982)

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  3. Kriuchkov, V.N., Solomonovich, M.: Self-sustained oscillation in economics. Appl. Math. Comput. 49, 63–77 (1992)

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Correspondence to Mark Solomonovich .

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Kryuchkov, V., Solomonovich, M., Anton, C. (2017). Moving Limit Cycles Model of an Economic System. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_51

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_51

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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