Мақаланы E-mail арқылы жіберу Knot as a complete invariant of a Morse-Smale 3-diffeomorphism with four fixed points
- Авторлар: Pochinka O.V.1, Talanova E.A.1,2, Shubin D.D.1
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Мекемелер:
- National Research University – Higher School of Economics in Nizhny Novgorod
- National Research Lobachevsky State University of Nizhny Novgorod
- Шығарылым: Том 214, № 8 (2023)
- Беттер: 94-107
- Бөлім: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/133545
- DOI: https://doi.org/10.4213/sm9814
- ID: 133545
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Тек жазылушылар үшін
Аннотация
It is known that the topological conjugacy class of a Morse-Smale flows with unique saddle is defined by the equivalence class of the Hopf knot in
Негізгі сөздер
Авторлар туралы
Olga Pochinka
National Research University – Higher School of Economics in Nizhny Novgorod
Хат алмасуға жауапты Автор.
Email: olga-pochinka@yandex.ru
Doctor of physico-mathematical sciences, no status
Elena Talanova
National Research University – Higher School of Economics in Nizhny Novgorod; National Research Lobachevsky State University of Nizhny Novgorod
Email: eltalanova72@gmail.com
Danila Shubin
National Research University – Higher School of Economics in Nizhny Novgorod
Email: schub.danil@yandex.ru
Әдебиет тізімі
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- P. M. Akhmet'ev, T. V. Medvedev, O. V. Pochinka, “On the number of the classes of topological conjugacy of Pixton diffeomorphisms”, Qual. Theory Dyn. Syst., 20:3 (2021), 76, 15 pp.
- B. Mazur, “A note on some contractible 4-manifolds”, Ann. of Math. (2), 73:1 (1961), 221–228
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- V. S. Afraimovich, M. I. Rabinovich, P. Varona, “Heteroclinic contours in neural ensembles and the winnerless competition principle”, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 14:4 (2004), 1195–1208
- V. Z. Grines, T. V. Medvedev, O. V. Pochinka, Dynamical systems on 2- and 3-manifolds, Dev. Math., 46, Springer, Cham, 2016, xxvi+295 pp.
- B. Шмуклер, O. Починка, “Бифуркации, меняющие тип гетероклинических кривых 3-диффеоморфизмов Морса–Смейла”, Таврический вестник информатики и математики, 50:1 (2021), 101–114
- T. V. Medvedev, O. V. Pochinka, “The wild Fox–Artin arc in invariant sets of dynamical systems”, Dyn. Syst., 33:4 (2018), 660-666
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