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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
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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}
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