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



Model. Anal. Inform. Sist.:
Year:
Volume:
Issue:
Page:
Find






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


Model. Anal. Inform. Sist., 2007, Volume 14, Number 2, Pages 68–74 (Mi mais140)  

The buffer phenomenon in one pendulum type equation

D. V. Sandulyak

Yaroslavl State University

Abstract: An equation describing induced oscillations of the non-linear pendulum with small friction under external force is considered. We establish that the Hamilton's scenario of the buffer phenomenon takes place in this dynamical system. We prove that any predetermined finite number of stable periodic solutions exists in the phase space if the parameters are appropriately chosen. These solutions appear as a result of a cascade of saddle-node type bifurcations.

Full text: PDF file (110 kB)
References: PDF file   HTML file
UDC: 517.926
Received: 02.05.2007

Citation: D. V. Sandulyak, “The buffer phenomenon in one pendulum type equation”, Model. Anal. Inform. Sist., 14:2 (2007), 68–74

Citation in format AMSBIB
\Bibitem{San07}
\by D.~V.~Sandulyak
\paper The buffer phenomenon in one pendulum type equation
\jour Model. Anal. Inform. Sist.
\yr 2007
\vol 14
\issue 2
\pages 68--74
\mathnet{http://mi.mathnet.ru/mais140}


Linking options:
  • http://mi.mathnet.ru/eng/mais140
  • http://mi.mathnet.ru/eng/mais/v14/i2/p68

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Моделирование и анализ информационных систем
    Number of views:
    This page:144
    Full text:49
    References:16

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020