Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 72–79 (Mi znsl964)  
A stable foliation to infinity in the phase space of the Hénon map

V. L. Chernov

St. Petersburg State University, Faculty of Physics
Full-text PDF (157 kB)
References:
PDF
HTML
Abstract: The phase space of quadratic area-preserving Hénon map of the plane is considered. The stable and unstable foliations to infinity are constructed and their differentiability in the real case is proved. Main conjectures on the foliation behavior are discussed for the complex case. The presentation of a dynamical system in the form of a continued fraction is used.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2716–2720
DOI: https://doi.org/10.1007/s10958-005-0222-z
Bibliographic databases:
UDC: 517.938+517.925.75
Language: English
Citation: V. L. Chernov, “A stable foliation to infinity in the phase space of the Hénon map”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 72–79; J. Math. Sci. (N. Y.), 128:2 (2005), 2716–2720
Citation in format AMSBIB
\Bibitem{Che03}
\by V.~L.~Chernov
\paper A~stable foliation to infinity in the phase space of the H\'enon map
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 72--79
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl964}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993027}
\zmath{https://zbmath.org/?q=an:1120.37024}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2716--2720
\crossref{https://doi.org/10.1007/s10958-005-0222-z}
Linking options:
  • https://www.mathnet.ru/eng/znsl964
  • https://www.mathnet.ru/eng/znsl/v300/p72
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :30
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024