Title | Mathematical modeling and assessment of nonlinear dynamics of the state of basic production assets of AIC |
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Authors | V. G.^{1}, T. F. Mamedova^{1}, O. E. Kaledin^{1}^{1}Ogarev Mordovia State University |

Annotation | A technique for analyzing the economic process on the basis of a three-sector model of the economy is proposed. In the paper, the component models are described in detail, a system of differential equations is composed. The numerical solution of the system obtained is tested for stability by the method of asymptotic equivalence. The paper presents the results of numerical modeling of the agro-industrial complex system based on the statistical database. Conclusion about the stability of the process is done. |

Keywords | three-sector model, basic production assets, nonlinear dynamics, equation of motion, asymptotic equivalence. |

Citation | G. V., Mamedova T. F., Kaledin O. E. ''Mathematical modeling and assessment of nonlinear dynamics of the state of basic production assets of AIC'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 391-397. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper55.pdf. - Date of access: 15.11.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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