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PARAMETRIZATION OF INVARIANT MANIFOLDS OF SLOW MOTIONS
- Authors: Sobolev V.A.1, Shchepakina E.A.1, Tropkina E.A.1
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Affiliations:
- Samara National Research University
- Issue: Vol 24, No 4 (2018)
- Pages: 33-40
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/6502
- DOI: https://doi.org/10.18287/2541-7525-2018-24-4-33-40
- ID: 6502
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Abstract
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.
Email: morenov@ssau.ru
E. A. Shchepakina
Samara National Research University
Email: morenov@ssau.ru
E. A. Tropkina
Samara National Research University
Email: morenov@ssau.ru
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