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The method of integral manifolds is used to study the multidimensional systems of differential equations. This approach allows to solve an important problem of order reduction of differential systems. If a slow invariant manifold cannot be described explicitly then its parametrization is used for the system order reduction. In this case, either a part of the fast variables, or all fast variables, supplemented by a certain number of slow variables, can play a role of the parameters.

About the authors

V. A. Sobolev

Samara National Research University

Author for correspondence.

E. A. Shchepakina

Samara National Research University


E. A. Tropkina

Samara National Research University



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Copyright (c) 2019 В. А. Соболев, Е. А. Щепакина, Е. А. Тропкина

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