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Hierarchical model nonlinear dynamic system

Shevnina Yulia Sergeevna  (Candidate of Technical Sciences, Docent, National Research University MIET, Moscow, Zelenograd)

The paper presents the basic principles of building a hierarchical model of a dynamic system of any nature and complexity. When developing the model, the statement was used that any system consists of a hierarchy of controlling and controlled subsystems. The authors provide a mathematical proof of the finiteness and countability of the hierarchical levels of a nonlinear system. The proposed principles for constructing a hierarchical model of a dynamic system of any complexity with the ability to self-organization can be used in the modeling and description of nonlinear systems of various nature, as well as in the development of a generalized mathematical model of their state.

Keywords:nonlinear system, nonlinear dynamics, system modeling, hierarchical structure of systems.
 

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Citation link:
Shevnina Y. S. Hierarchical model nonlinear dynamic system // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2021. -№08. -С. 135-139 DOI 10.37882/2223-2966.2021.08.40
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