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Matematicheskie Zametki, 2012, Volume 92, Issue 4, Pages 541–558
DOI: https://doi.org/10.4213/mzm9888 (Mi mzm9888) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Morse–Smale Diffeomorphisms with Three Fixed Points

E. V. Zhuzhomaa, V. S. Medvedevb

a Nizhny Novgorod State Pedagogical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Full-text PDF (624 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9888
Abstract: It is proved that the closures of separatrices for a Morse–Smale diffeomorphism with three fixed points are flatly embedded spheres if the dimension of the manifold is at least 6 and may be wildly embedded spheres if the dimension of the manifold is 4.
Keywords: Morse–Smale diffeomorphism with three fixed points, separatrix of a saddle, flatly embedded sphere, wildly embedded sphere, nonwandering set, periodic point.
Received: 28.03.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 4, Pages 497–512
DOI: https://doi.org/10.1134/S0001434612090222
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: E. V. Zhuzhoma, V. S. Medvedev, “Morse–Smale Diffeomorphisms with Three Fixed Points”, Mat. Zametki, 92:4 (2012), 541–558; Math. Notes, 92:4 (2012), 497–512
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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