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Sbornik: Mathematics, 1998, Volume 189, Issue 8, Pages 1205–1250
DOI: https://doi.org/10.1070/sm1998v189n08ABEH000341 (Mi sm341) 		 
This article is cited in 54 scientific papers (total in 54 papers)

Classification of Morse–Smale flows on two-dimensional manifolds

A. A. Oshemkova, V. V. Sharkob

a M. V. Lomonosov Moscow State University
b Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (566 kB) Citations (54)
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DOI: https://doi.org/10.1070/sm1998v189n08ABEH000341
Abstract: The problem of topological trajectory classification of Morse–Smale flows on closed two-dimensional surfaces is considered. Important results in this direction have been obtained by Peixoto and his school. However, the complete solution of this problem has not yet been accurately presented. The new topological invariants constructed in our work have a simpler form than those in the works of Peixoto. In particular, a list of Morse–Smale flows of small complexity is given which has been obtained by the authors by means of the invariants constructed by them.
Received: 13.11.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 8, Pages 93–140
DOI: https://doi.org/10.4213/sm341
Bibliographic databases:
UDC: 513.83
MSC: 34C35, 58F09
Language: English
Original paper language: Russian
Citation: A. A. Oshemkov, V. V. Sharko, “Classification of Morse–Smale flows on two-dimensional manifolds”, Mat. Sb., 189:8 (1998), 93–140; Sb. Math., 189:8 (1998), 1205–1250
Citation in format AMSBIB
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    • This publication is cited in the following 54 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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