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Sbornik: Mathematics, 2004, Volume 195, Issue 9, Pages 1253–1270
DOI: https://doi.org/10.1070/SM2004v195n09ABEH000843 (Mi sm843) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Generalizations of theorems on mixing flows with non-degenerate saddle points on a 2-torus

A. V. Kochergin

M. V. Lomonosov Moscow State University, Faculty of Economics
English version PDF (225 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM2004v195n09ABEH000843
Abstract: A result on mixing in the special flow constructed from a rotation of a circle and an asymmetric function with logarithmic singularities is generalized to the case of Liouville rotation angles, provided that the coefficients of the singularities satisfy certain relations. It is also shown that the presence of strictly logarithmic symmetric singularities does not obstruct mixing in the case of a strongly asymmetric function.
Received: 26.02.2004
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 9, Pages 19–36
DOI: https://doi.org/10.4213/sm843
Bibliographic databases:
UDC: 517.987.5+517.938
MSC: 37E35, 37A25
Language: English
Original paper language: Russian
Citation: A. V. Kochergin, “Generalizations of theorems on mixing flows with non-degenerate saddle points on a 2-torus”, Mat. Sb., 195:9 (2004), 19–36; Sb. Math., 195:9 (2004), 1253–1270
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:180
    English version PDF:1
    References:69
    First page:2
     
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