Nilpotent centers of cubic systems
- Авторы: Andreev A.F.1, Andreeva I.A.2, Detchenya L.V.3, Makovetskaya T.V.4, Sadovskii A.P.4
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Учреждения:
- Saint Petersburg State University
- Peter the Great Polytechnic University
- Yanka Kupala State University of Grodno
- Belarusian State University
- Выпуск: Том 53, № 8 (2017)
- Страницы: 975-980
- Раздел: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154497
- DOI: https://doi.org/10.1134/S0012266117080018
- ID: 154497
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Аннотация
We present an explicit form of cubic systems with a nilpotent singular point of the focus or center type at the origin. A method for finding the focus quantities of such systems is indicated. Sufficient conditions for the existence of a nilpotent center for cubic systems are given. Cubic systems reducible to the Li´enard system are studied in detail.
Об авторах
A. Andreev
Saint Petersburg State University
Email: irandr@inbox.ru
Россия, St. Petersburg, 199034
I. Andreeva
Peter the Great Polytechnic University
Автор, ответственный за переписку.
Email: irandr@inbox.ru
Россия, St. Petersburg, 195251
L. Detchenya
Yanka Kupala State University of Grodno
Email: irandr@inbox.ru
Белоруссия, Grodno, 230023
T. Makovetskaya
Belarusian State University
Email: irandr@inbox.ru
Белоруссия, Minsk, 220030
A. Sadovskii
Belarusian State University
Email: irandr@inbox.ru
Белоруссия, Minsk, 220030
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