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, 2007, Volume 12, Issue 5, Pages 449–475
DOI: https://doi.org/10.1134/S1560354707050012 (Mi rcd632) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On the 150th anniversary of A.M.Lyapunov

Symbolic dynamics in the planar three-body problem

R. Moeckel

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Citations (16)
DOI: https://doi.org/10.1134/S1560354707050012
Abstract: A chaotic invariant set is constructed for the planar three-body problem. The orbits in the invariant set exhibit many close approaches to triple collision and also excursions near infinity. The existence proof is based on finding appropriate "windows" in the phase space which are stretched across one another by flow-defined Poincaré maps.
Keywords: Celestial Mechanics, three-body problem.
Received: 07.06.2007
Accepted: 20.08.2007
Bibliographic databases:
Document Type: Personalia
MSC: 70F10, 70F15, 37N05, 76Bxx
Language: English
Citation: R. Moeckel, “Symbolic dynamics in the planar three-body problem”, Regul. Chaotic Dyn., 12:5 (2007), 449–475
Citation in format AMSBIB
\Bibitem{Moe07}
\by R. Moeckel
\paper Symbolic dynamics in the planar three-body problem
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 5
\pages 449--475
\mathnet{http://mi.mathnet.ru/rcd632}
\crossref{https://doi.org/10.1134/S1560354707050012}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2350333}
\zmath{https://zbmath.org/?q=an:1229.70033}
Linking options:
  • https://www.mathnet.ru/eng/rcd632
  • https://www.mathnet.ru/eng/rcd/v12/i5/p449
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:74
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024