Hyperbolic Roussarie fields with degenerate quadratic part
- Authors: Pavlova N.G.1,2,3, Remizov A.O.1
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Affiliations:
- Moscow Institute of Physics and Technology (National Research University)
- V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
- Peoples' Friendship University of Russia
- Issue: Vol 76, No 2 (2021)
- Pages: 183-184
- Section: Articles
- URL: https://journals.rcsi.science/0042-1316/article/view/133668
- DOI: https://doi.org/10.4213/rm9893
- ID: 133668
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Abstract
A local normal form for Roussarie vector fields with degenerate quadratic part is presented.
About the authors
Natalia Gennadievna Pavlova
Moscow Institute of Physics and Technology (National Research University); V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences; Peoples' Friendship University of Russia
Email: natasharussia@mail.ru
Candidate of physico-mathematical sciences, Associate professor
Alexey Olegovich Remizov
Moscow Institute of Physics and Technology (National Research University)
Email: alexey-remizov@yandex.ru
Candidate of physico-mathematical sciences, no status
References
- R. Roussarie, Modèles locaux de champs et de formes, Asterisque, 30, Soc. Math. France, Paris, 1975, 181 pp.
- В. И. Арнольд, А. Б. Гивенталь, Динамические системы – 4, Итоги науки и техн. Сер. Соврем. пробл. матем. Фундам. направления, 4, ВИНИТИ, М., 1985, 5–135
- Н. Г. Павлова, А. О. Ремизов, Изв. РАН. Сер. матем., 83:1 (2019), 119–139
- Д. В. Трещев, УМН, 75:1(451) (2020), 195–196
- Е. В. Ноздринова, О. В. Починка, УМН, 75:2(452) (2020), 195–196
- В. С. Самовол, Тр. ММО, 44, Изд-во Моск. ун-та, М., 1982, 213–234
- Ю. С. Ильяшенко, С. Ю. Яковенко, УМН, 46:1(277) (1991), 3–39
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