V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “A Combinatorial Invariant of Morse–Smale Diffeomorphisms without Heteroclinic Intersections on the Sphere $S^n$, $n\ge 4$”, Mat. Zametki, 105:1 (2019), 136–141; Math. Notes, 105:1 (2019), 132

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Matematicheskie Zametki, 2019, Volume 105, Issue 1, Pages 136–141
DOI: https://doi.org/10.4213/mzm12098 (Mi mzm12098)

This article is cited in 7 scientific papers (total in 7 papers)

Brief Communications

A Combinatorial Invariant of Morse–Smale Diffeomorphisms without Heteroclinic Intersections on the Sphere

$S^n$ ,

$n\ge 4$

V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka

National Research University "Higher School of Economics", Nizhny Novgorod Branch

Full-text PDF (467 kB) Citations (7)

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DOI: https://doi.org/10.4213/mzm12098

Keywords: Morse–Smale diffeomorphism, topological conjugacy, topological classification.

Funding agency	Grant number
HSE Basic Research Program	95
Russian Science Foundation	17-11-01041
This work was supported by the Russian Science Foundation under grant 17-11-01041 and by the Basic Research Program of the National Research University Higher School of Economics for the year 2018 (grant no. 95).

Received: 18.06.2018

English version:
Mathematical Notes, 2019, Volume 105, Issue 1, Pages 132–136
DOI: https://doi.org/10.1134/S0001434619010140

Bibliographic databases:

Document Type: Article

MSC: 37D15

Language: Russian

Citation: V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “A Combinatorial Invariant of Morse–Smale Diffeomorphisms without Heteroclinic Intersections on the Sphere

$S^n$ ,

$n\ge 4$ ”, Mat. Zametki, 105:1 (2019), 136–141; Math. Notes, 105:1 (2019), 132–136

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm12098

https://doi.org/10.4213/mzm12098

https://www.mathnet.ru/eng/mzm/v105/i1/p136

This publication is cited in the following 7 articles:

V. Z. Grines, E. Ya. Gurevich, “On classification of Morse–Smale flows on projective-like manifolds”, Izv. Math., 86:5 (2022), 876–902
Wenping Wei, Leipo Liu, “Dynamic model of language propagation in english translation based on differential equations”, Mathematical Problems in Engineering, 2022 (2022), 1
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$ ”, Proc. Steklov Inst. Math., 310 (2020), 108–123
Vladislav E. Kruglov, Dmitry S. Malyshev, Olga V. Pochinka, Danila D. Shubin, “On Topological Classification of Gradient-like Flows on an $n$ -sphere in the Sense of Topological Conjugacy”, Regul. Chaotic Dyn., 25:6 (2020), 716–728
V. E. Kruglov, O. V. Pochinka, “Criterion for the Topological Conjugacy of Multi-Dimensional Gradient-Like Flows with No Heteroclinic Intersections on a Sphere”, J Math Sci, 250:1 (2020), 22
V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, O. V. Pochinka, “Classification of Morse–Smale systems and topological structure of the underlying manifolds”, Russian Math. Surveys, 74:1 (2019), 37–110
Pochinka V O., Galkina S.Yu., Shubin D.D., “Modeling of Gradient-Like Flows on N-Sphere”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 27:6 (2019), 63–72

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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