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Sbornik: Mathematics, 2005, Volume 196, Issue 4, Pages 465–483
DOI: https://doi.org/10.1070/SM2005v196n04ABEH000888 (Mi sm1281) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Global bifurcations on a Klein bottle. The general case

A. R. Borisyuk

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (260 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2005v196n04ABEH000888
Abstract: A one-parameter family of smooth vector fields in a space of a high dimension is considered such that for some critical parameter value the corresponding field has a saddle-node cycle (a periodic orbit). The case when the union of the cycle and its homoclinic orbits form a smooth Klein bottle is discussed. The problem consists in the description of the behaviour of the orbit set under the variation of the parameter.
Received: 07.08.2003 and 09.02.2005
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 4, Pages 3–22
DOI: https://doi.org/10.4213/sm1281
Bibliographic databases:
UDC: 514.747
MSC: 37G15
Language: English
Original paper language: Russian
Citation: A. R. Borisyuk, “Global bifurcations on a Klein bottle. The general case”, Mat. Sb., 196:4 (2005), 3–22; Sb. Math., 196:4 (2005), 465–483
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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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:220
    English version PDF:9
    References:62
    First page:2
     
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