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Tr. Mat. Inst. Steklova, 2017, Volume 297, Pages 46–61 (Mi tm3834)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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.


DOI: https://doi.org/10.1134/S0371968517020030

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English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 297, 35–49

Bibliographic databases:

UDC: 517.938
MSC: 37B25, 37D15, 57M30
Received: April 3, 2017

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, Tr. 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
\serial Tr. Mat. Inst. Steklova
\yr 2017
\vol 297
\pages 46--61
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\yr 2017
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    This publication is cited in the following articles:
    1. 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  mathnet  crossref  crossref  adsnasa  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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