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Mat. Zametki, 1976, Volume 19, Issue 3, Pages 453–468 (Mi mz7764)  

This article is cited in 11 scientific papers (total in 11 papers)

Nonsingular saddle points and the absence of mixing

A. V. Kochergin

M. V. Lomonosov Moscow State University

Abstract: For abstract special flows a sufficient condition of absence of mixing is obtained. The result obtained applies to certain classes of smooth flows with nonsingular fixed points on compact orientable surfaces.

Full text: PDF file (984 kB)

English version:
Mathematical Notes, 1976, 19:3, 277–286

Bibliographic databases:

UDC: 517
Received: 11.04.1975

Citation: A. V. Kochergin, “Nonsingular saddle points and the absence of mixing”, Mat. Zametki, 19:3 (1976), 453–468; Math. Notes, 19:3 (1976), 277–286

Citation in format AMSBIB
\Bibitem{Koc76}
\by A.~V.~Kochergin
\paper Nonsingular saddle points and the absence of mixing
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 3
\pages 453--468
\mathnet{http://mi.mathnet.ru/mz7764}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=415681}
\zmath{https://zbmath.org/?q=an:0344.28008}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 3
\pages 277--286
\crossref{https://doi.org/10.1007/BF01437864}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Arnol'd, “Topological and ergodic properties of closed 1-forms with incommensurable periods”, Funct. Anal. Appl., 25:2 (1991), 81–90  mathnet  crossref  mathscinet  zmath
    2. Ya. G. Sinai, K. M. Khanin, “Mixing for some classes of special flows over rotations of the circle”, Funct. Anal. Appl., 26:3 (1992), 155–169  mathnet  crossref  mathscinet  zmath
    3. A. V. Kochergin, “A mixing special flow over a circle rotation with almost Lipschitz function”, Sb. Math., 193:3 (2002), 359–385  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus”, Sb. Math., 194:8 (2003), 1195–1224  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus. II”, Sb. Math., 195:3 (2004), 317–346  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. A. V. Kochergin, “Generalizations of theorems on mixing flows with non-degenerate saddle points on a 2-torus”, Sb. Math., 195:9 (2004), 1253–1270  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. A. V. Kochergin, “Hölder Time Change and Mixing Rate in a Flow on the Two-Dimensional Torus”, Proc. Steklov Inst. Math., 244 (2004), 201–232  mathnet  mathscinet  zmath
    8. B. R. Fayad, M. Lemańczy, “On the ergodicity of cylindrical transformations given by the logarithm”, Mosc. Math. J., 6:4 (2006), 657–672  mathnet  crossref  mathscinet  zmath
    9. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. A. V. Kochergin, “Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces”, Proc. Steklov Inst. Math., 256 (2007), 238–252  mathnet  crossref  mathscinet  zmath  elib  elib
    11. Kulaga J., “A Note on the Isomorphism of Cartesian Products of Ergodic Flows”, J. Dyn. Control Syst., 18:2 (2012), 247–267  crossref  isi
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