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, 2004, Volume 9, Issue 1, Pages 1–12
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000259 (Mi rcd725) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Recurrence and periodic billiard orbits in polygons

S. Troubetzkoy

Centre de Physique Théorique, Institut de Mathématiques de Luminy et Federation de Recherches des Unites de Mathematiques de Marseille, CNRS Luminy, Case 907, F-13288 Marseille Cedex 9, France
Citations (12)
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000259
Abstract: We show that almost all billiard trajectories return parallel to themselves for rank $1$, ergodic polygons. Applications are given to the existence of periodic trajectories.
Received: 08.01.2004
Bibliographic databases:
Document Type: Article
MSC: 37A40, 37C05, 37C27
Language: English
Citation: S. Troubetzkoy, “Recurrence and periodic billiard orbits in polygons”, Regul. Chaotic Dyn., 9:1 (2004), 1–12
Citation in format AMSBIB
\Bibitem{Tro04}
\by S. Troubetzkoy
\paper Recurrence and periodic billiard orbits in polygons
\jour Regul. Chaotic Dyn.
\yr 2004
\vol 9
\issue 1
\pages 1--12
\mathnet{http://mi.mathnet.ru/rcd725}
\crossref{https://doi.org/10.1070/RD2004v009n01ABEH000259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2058893}
\zmath{https://zbmath.org/?q=an:1049.37024}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RCD.....9....1T}
Linking options:
  • https://www.mathnet.ru/eng/rcd725
  • https://www.mathnet.ru/eng/rcd/v9/i1/p1
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:78
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024