Abstract
The progress logic of mathematic modeling in economics was similar to any other field of engineering, e.g., mechanics. The was the evolution from simplest models to complex ones, from static relations to dynamic, from scalar problems to multidimensional, from linear problems to nonlinear, etc. However, the progress in classical mechanics was inseparably linked with the progress in mathematics and vice versa, they started applying well-developed by that time mathematical formalism to economy in the second half of the 20th century only. In many aspects, the difficulties of modeling of economics as a nature object are explained. Up to now, there is no such set of universally recognized laws which could be widely applicable, for example, Hook’s law or Coulomb’s law.
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- 1.
The calculations were performed by I. M. Shakhov.
- 2.
The title of the doctoral thesis of A. L. Chizhevsky “The investigation of world-historic process cycling” (Moscow 1920) speaks for itself.
- 3.
Figure 15.13 gives the elementary illustration of the above stated. The cycling easily explicable by a seasonal factor can be observed from the dynamics of Gross Domestic Product (GDP) for the past few years.
- 4.
The calculation and result analysis are performed by E. M. Fedorova.
- 5.
It is interesting that direct reduction of the block diagram of Fig. 15.15 by entering gain coefficients to the transfer function numerator leads to incorrect results; that seems to be a Simulink bug.
- 6.
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Chechurin, L., Chechurin, S. (2017). Economics. In: Physical Fundamentals of Oscillations. Springer, Cham. https://doi.org/10.1007/978-3-319-75154-2_15
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DOI: https://doi.org/10.1007/978-3-319-75154-2_15
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