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Mathematical Modeling of Behavior of Complex Dynamical Systems Under Changing Conditions

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Modern Information Technology and IT Education (SITITO 2017)

Abstract

In the paper we consider some issues on using non-autonomous discrete models for describing the dynamics of the behavior of complex technical and natural systems. We discuss the questions on determining the coefficients of the model in the case, when these coefficients are time dependent. We propose an approach allowing one to determine these parameters so that their values reflect real data on external and internal conditions. We propose also a corresponding discrete mathematical model allowing to predict the dynamics of the behavior of the system under varying in time external and internal factors. We develop algorithms for solving this problem as well as corresponding programs in MatLab and MathCad. We provide some numerical and graphical results of the study of the proposed model.

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Ibragimova, L., Yumagulov, M. (2021). Mathematical Modeling of Behavior of Complex Dynamical Systems Under Changing Conditions. In: Sukhomlin, V., Zubareva, E. (eds) Modern Information Technology and IT Education. SITITO 2017. Communications in Computer and Information Science, vol 1204. Springer, Cham. https://doi.org/10.1007/978-3-030-78273-3_26

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  • DOI: https://doi.org/10.1007/978-3-030-78273-3_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-78272-6

  • Online ISBN: 978-3-030-78273-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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