Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 1976, Volume 19, Issue 3, Pages 453–468 (Mi mzm7764)  

This article is cited in 22 scientific papers (total in 22 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.
Received: 11.04.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 3, Pages 277–286
DOI: https://doi.org/10.1007/BF01437864
Bibliographic databases:
UDC: 517
Language: Russian
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/mzm7764}
\mathscinet{http://mathscinet.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}
Linking options:
  • https://www.mathnet.ru/eng/mzm7764
  • https://www.mathnet.ru/eng/mzm/v19/i3/p453
  • This publication is cited in the following 22 articles:
    1. Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski, Péter Nándori, “Flexibility of statistical properties for smooth systems satisfying the central limit theorem”, Invent. math., 230:1 (2022), 31  crossref
    2. Michael A. Zaks, Alexander Nepomnyashchy, “Subdiffusive and superdiffusive transport in plane steady viscous flows”, Proc. Natl. Acad. Sci. U.S.A., 116:37 (2019), 18245  crossref
    3. Michael A. Zaks, Alexander Nepomnyashchy, Nonlinear Systems and Complexity, 20, Advances in Dynamics, Patterns, Cognition, 2017, 61  crossref
    4. Bassam Fayad, Adam Kanigowski, “Multiple mixing for a class of conservative surface flows”, Invent. math., 203:2 (2016), 555  crossref
    5. Kulaga J., “A Note on the Isomorphism of Cartesian Products of Ergodic Flows”, J. Dyn. Control Syst., 18:2 (2012), 247–267  crossref  isi
    6. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. 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
    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. Anatole Katok, Jean-Paul Thouvenot, Handbook of Dynamical Systems, 1, 2006, 649  crossref
    10. Michael A. Zaks, NATO Science Series, 182, Chaotic Dynamics and Transport in Classical and Quantum Systems, 2005, 401  crossref
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
    16. Michael A. Zaks, Arthur V. Straube, “Steady Stokes Flow with Long-Range Correlations, Fractal Fourier Spectrum, and Anomalous Transport”, Phys. Rev. Lett., 89:24 (2002)  crossref
    17. Boris Hasselblatt, Anatole Katok, Handbook of Dynamical Systems, 1, 2002, 1  crossref
    18. Michael A. Zaks, Arkady S. Pikovsky, Jürgen Kurths, “Symbolic dynamics behind the singular continuous power spectra of continuous flows”, Physica D: Nonlinear Phenomena, 117:1-4 (1998), 77  crossref
    19. Michael A. Zaks, Arkady S. Pikovsky, Jürgen Kurths, “Steady Viscous Flow with Fractal Power Spectrum”, Phys. Rev. Lett., 77:21 (1996), 4338  crossref
    20. Arkady S. Pikovsky, Michael A. Zaks, Ulrike Feudel, Jürgen Kurths, “Singular continuous spectra in dissipative dynamics”, Phys. Rev. E, 52:1 (1995), 285  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:232
    Full-text PDF :103
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025