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This article is cited in 2 scientific papers (total in 2 papers)
Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points
E. V. Zhuzhoma, V. S. Medvedev National Research University "Higher School of Economics", Moscow
Abstract:
The paper describes the topological structure of closed manifolds of dimension $\ge4$ that admit Morse–Smale diffeomorphisms whose nonwandering sets contain arbitrarily many sink periodic points, arbitrarily many source periodic points, and two saddle periodic points. The underlying manifolds of Morse–Smale diffeomorphisms with fewer saddle periodic points are also described.
Keywords:
Morse–Smale diffeomorphism, nonwandering set, topological structure.
Received: 11.03.2020 Revised: 01.07.2020
Citation:
E. V. Zhuzhoma, V. S. Medvedev, “Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points”, Mat. Zametki, 109:3 (2021), 361–369; Math. Notes, 109:3 (2021), 398–404
Linking options:
https://www.mathnet.ru/eng/mzm12718https://doi.org/10.4213/mzm12718 https://www.mathnet.ru/eng/mzm/v109/i3/p361
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Abstract page: | 233 | Full-text PDF : | 20 | References: | 27 | First page: | 3 |
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