Email this article On the Stability of Toroidal Manifold for One Class of Dynamical Systems
- Authors: Perestyuk M.M.1, Perestyuk Y.M.1
-
Affiliations:
- Shevchenko Kyiv National University
- Issue: Vol 228, No 3 (2018)
- Pages: 314-322
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240238
- DOI: https://doi.org/10.1007/s10958-017-3623-x
- ID: 240238
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
M. M. Perestyuk
Shevchenko Kyiv National University
Author for correspondence.
Email: Perestyuknn@gmail.com
Ukraine, Volodymys’ka Str., 64, Kyiv, 01601
Yu. M. Perestyuk
Shevchenko Kyiv National University
Email: Perestyuknn@gmail.com
Ukraine, Volodymys’ka Str., 64, Kyiv, 01601
Supplementary files
