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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 297, Pages 46–61
DOI: https://doi.org/10.1134/S0371968517020030
(Mi tm3834)
 

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

Realization of Morse–Smale diffeomorphisms on $3$-manifolds

Ch. Bonattia, V. Z. Grinesb, O. V. Pochinkab

a Institut de Mathématiques de Bourgogne, UMR 5584 du CNRS, 9 ave. Alain Savary, 21000 Dijon Cedex, France
b National Research University "Higher School of Economics", ul. Myasnitskaya 20, Moscow, 101000 Russia
Full-text PDF (606 kB) Citations (7)
References:
Abstract: The paper presents a realization of an orientation-preserving Morse–Smale $3$-diffeomorphism in each class of the topological conjugacy by means of an abstract scheme.
Funding agency Grant number
Russian Science Foundation 17-11-01041
HSE Basic Research Program 90
This work is supported by the Russian Science Foundation under grant 17-11-01041, except for the proof of the Hausdorff property of the wandering orbit space. The latter proof was obtained within the HSE Basic Research Program (project no. 90) in 2017.
Received: April 3, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 297, Pages 35–49
DOI: https://doi.org/10.1134/S0081543817040034
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37B25, 37D15, 57M30
Language: Russian
Citation: Ch. Bonatti, V. Z. Grines, O. V. Pochinka, “Realization of Morse–Smale diffeomorphisms on $3$-manifolds”, Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Trudy Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 46–61; Proc. Steklov Inst. Math., 297 (2017), 35–49
Citation in format AMSBIB
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\paper Realization of Morse--Smale diffeomorphisms on $3$-manifolds
\inbook Order and chaos in dynamical systems
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov
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\vol 297
\pages 46--61
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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