Hierarchical model nonlinear dynamic system

Shevnina Yulia Sergeevna

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.