Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 122–134 (Mi znsl988)  
This article is cited in 6 scientific papers (total in 6 papers)

Creating transverse homoclinic connections in planar billiards

V. J. Donnay

Department of Mathematics Bryn Mawr College
Full-text PDF (238 kB) Citations (6)
References:
PDF
HTML
Abstract: Given a planar billiard system containing stable and unstable manifolds that intersect non-transversely, we show how to make a local perturbation to the boundary that causes the intersection to become transverse. We apply these ideas to billiards inside an ellipse.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2747–2753
DOI: https://doi.org/10.1007/s10958-005-0225-9
Bibliographic databases:
UDC: 517.9
Language: English
Citation: V. J. Donnay, “Creating transverse homoclinic connections in planar billiards”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 122–134; J. Math. Sci. (N. Y.), 128:2 (2005), 2747–2753
Citation in format AMSBIB
\Bibitem{Don03}
\by V.~J.~Donnay
\paper Creating transverse homoclinic connections in planar billiards
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 122--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl988}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993030}
\zmath{https://zbmath.org/?q=an:1120.37040}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2747--2753
\crossref{https://doi.org/10.1007/s10958-005-0225-9}
Linking options:
  • https://www.mathnet.ru/eng/znsl988
  • https://www.mathnet.ru/eng/znsl/v300/p122
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:227
    Full-text PDF :62
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024