Regular and Chaotic Dynamics
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


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Regular and Chaotic Dynamics, 1998, Volume 3, Issue 4, Pages 3–26
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000089 (Mi rcd957) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom

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

a Institute for Applied mathematics and Cybernetics, 10 Ul'ianov Str., Nizhniy Novgorod, 603005, Russia
b Weierstrass-Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin
Citations (10)
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000089
Abstract: We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.
Received: 20.11.1998
Bibliographic databases:
Document Type: Article
MSC: 58F36
Language: English
Citation: S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev, “Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom”, Regul. Chaotic Dyn., 3:4 (1998), 3–26
Citation in format AMSBIB
\Bibitem{GonShiTur98}
\by S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev
\paper Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 4
\pages 3--26
\mathnet{http://mi.mathnet.ru/rcd957}
\crossref{https://doi.org/10.1070/RD1998v003n04ABEH000089}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704979}
\zmath{https://zbmath.org/?q=an:0956.37048}
Linking options:
  • https://www.mathnet.ru/eng/rcd957
  • https://www.mathnet.ru/eng/rcd/v3/i4/p3
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:99
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024