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Sbornik: Mathematics, 2003, Volume 194, Issue 7, Pages 979–1007
DOI: https://doi.org/10.1070/SM2003v194n07ABEH000751 (Mi sm751) 		 
This article is cited in 40 scientific papers (total in 40 papers)

New relations for Morse–Smale systems with trivially embedded one-dimensional separatrices

V. Z. Grinesa, E. V. Zhuzhomab, V. S. Medvedevc

a Nizhnii Novgorod State Agricultural Academy
b Nizhny Novgorod State Technical University
c Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
English version PDF (386 kB) Citations (40)
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DOI: https://doi.org/10.1070/SM2003v194n07ABEH000751
Abstract: New relations are established between the periodic structure of Morse–Smale systems (flows or diffeomorphisms) and the genus of Heegaard splittings of the supporting manifold. A sharp lower estimate is found for the number of non-closed heteroclinic curves of certain Morse–Smale diffeomorphisms on lens spaces.
Received: 12.09.2001 and 23.12.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 7, Pages 25–56
DOI: https://doi.org/10.4213/sm751
Bibliographic databases:
UDC: 517.9+513.83
MSC: Primary 37D15, 37C25; Secondary 57N10
Language: English
Original paper language: Russian
Citation: V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “New relations for Morse–Smale systems with trivially embedded one-dimensional separatrices”, Mat. Sb., 194:7 (2003), 25–56; Sb. Math., 194:7 (2003), 979–1007
Citation in format AMSBIB
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    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:63
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