On the Stability of Toroidal Manifold for One Class of Dynamical Systems
- Autores: Perestyuk M.M.1, Perestyuk Y.M.1
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Afiliações:
- Shevchenko Kyiv National University
- Edição: Volume 228, Nº 3 (2018)
- Páginas: 314-322
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240238
- DOI: https://doi.org/10.1007/s10958-017-3623-x
- ID: 240238
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Resumo
We study the problem of stability of an invariant toroidal manifold for one class of linear extensions of a dynamical system on a torus. The obtained result is used to investigate the problem of existence of invariant manifold for a nonlinear system of differential equations.
Sobre autores
M. Perestyuk
Shevchenko Kyiv National University
Autor responsável pela correspondência
Email: Perestyuknn@gmail.com
Ucrânia, Volodymys’ka Str., 64, Kyiv, 01601
Yu. Perestyuk
Shevchenko Kyiv National University
Email: Perestyuknn@gmail.com
Ucrânia, Volodymys’ka Str., 64, Kyiv, 01601
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