Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 244, Pages 115–142 (Mi tm445)  
This article is cited in 8 scientific papers (total in 8 papers)

Existence of Infinitely Many Elliptic Periodic Orbits in Four-Dimensional Symplectic Maps with a Homoclinic Tangency

S. V. Gonchenkoa, D. V. Turaevb, L. P. Shilnikova

a Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
b Weierstrass Institute for Applied Analysis and Stochastics
Full-text PDF (419 kB) Citations (8)
References:
PDF
HTML
Abstract: We study the problem of coexistence of a countable number of periodic orbits of different topological types (saddles, saddle–centers, and elliptic) in the case of four-dimensional symplectic diffeomorphisms with a homoclinic trajectory to a saddle–focus fixed point.
Received in November 2001
Bibliographic databases:
UDC: 517.91+517.93
Language: Russian
Citation: S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “Existence of Infinitely Many Elliptic Periodic Orbits in Four-Dimensional Symplectic Maps with a Homoclinic Tangency”, Dynamical systems and related problems of geometry, Collected papers. Dedicated to the memory of academician Andrei Andreevich Bolibrukh, Trudy Mat. Inst. Steklova, 244, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 115–142; Proc. Steklov Inst. Math., 244 (2004), 106–131
Citation in format AMSBIB
\Bibitem{GonTurShi04}
\by S.~V.~Gonchenko, D.~V.~Turaev, L.~P.~Shilnikov
\paper Existence of Infinitely Many Elliptic Periodic Orbits in Four-Dimensional Symplectic Maps with a~Homoclinic Tangency
\inbook Dynamical systems and related problems of geometry
\bookinfo Collected papers. Dedicated to the memory of academician Andrei Andreevich Bolibrukh
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 244
\pages 115--142
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2075115}
\zmath{https://zbmath.org/?q=an:1079.37049}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 244
\pages 106--131
Linking options:
  • https://www.mathnet.ru/eng/tm445
  • https://www.mathnet.ru/eng/tm/v244/p115
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:479
    Full-text PDF :148
    References:72
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024