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Trudy Moskovskogo Matematicheskogo Obshchestva, 2016, Volume 77, Issue 1, Pages 83–102 (Mi mmo584)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies

T. M. Mitryakovaa, O. V. Pochinkab

a Department of Mechanics and Mathematics, Nizhnii Novgorod State University, Nizhmii Novgorod, 603950 Russian Federation
b National Research University Higher School of Economics
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Abstract: In this paper we consider a class of three-dimensional diffeomorphisms that differ from gradient-like systems through the presence of heteroclinic tangencies. It is well known that such cascades are not structurally stable. However, here we find a complete system of topological invariants for a certain meaningful class of such diffeomorphisms.
Key words and phrases: heteroclinic tangencies, moduli of topological conjugacy, discrete dynamical systems.
Funding agency Grant number
National Research University Higher School of Economics 98
Russian Foundation for Basic Research 15-01-03689_а
Ministry of Education and Science of the Russian Federation 2014/134
This research was supported by the Programme for Basic Research of the National Research University Higher School of Economics in 2016 (project no. 98 “Topological methods in dynamics”), the Russian Science Foundation (project no. 15-01-03689-a), and the research work in accordance with the commission 2014/134 for performing state work in the sphere of scientific activity in the framework of the basic part of the state commission of the Ministry for Education and Science of Russia for 2014–2016 (Nizhnii Novgorod State University).
Received: 15.12.2014
Revised: 21.03.2015
English version:
Transactions of the Moscow Mathematical Society, 2016, Volume 77, Pages 69–86
DOI: https://doi.org/10.1090/mosc/253
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37D20
Language: Russian
Citation: T. M. Mitryakova, O. V. Pochinka, “Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies”, Tr. Mosk. Mat. Obs., 77, no. 1, MCCME, M., 2016, 83–102; Trans. Moscow Math. Soc., 77 (2016), 69–86
Citation in format AMSBIB
\Bibitem{MitPoc16}
\by T.~M.~Mitryakova, O.~V.~Pochinka
\paper Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies
\serial Tr. Mosk. Mat. Obs.
\yr 2016
\vol 77
\issue 1
\pages 83--102
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo584}
\elib{https://elibrary.ru/item.asp?id=28931384}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2016
\vol 77
\pages 69--86
\crossref{https://doi.org/10.1090/mosc/253}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85002410903}
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    • This publication is cited in the following 1 articles:
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