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This article is cited in 3 scientific papers (total in 3 papers)
On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev National Research University Higher School of Economics, Bol'shaya Pecherskaya ul. 25/12, Nizhny Novgorod, 603155 Russia
Abstract:
We consider the class $G(S^n)$ of orientation-preserving Morse–Smale diffeomorphisms defined on the sphere $S^n$ of dimension $n\geq 4$ under the assumption that the invariant manifolds of different saddle periodic points are disjoint. For diffeomorphisms in this class, we describe an algorithm for constructing representatives of all topological conjugacy classes.
Received: December 2, 2019 Revised: December 2, 2019 Accepted: April 6, 2020
Citation:
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 119–134; Proc. Steklov Inst. Math., 310 (2020), 108–123
Linking options:
https://www.mathnet.ru/eng/tm4096https://doi.org/10.4213/tm4096 https://www.mathnet.ru/eng/tm/v310/p119
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Abstract page: | 261 | Full-text PDF : | 46 | References: | 37 | First page: | 5 |
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