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



Nelin. Dinam.:
Year:
Volume:
Issue:
Page:
Find






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


Nelin. Dinam., 2012, Volume 8, Number 5, Pages 913–929 (Mi nd378)  

On the theory of forced synchronization of self-modulated oscillations

Ekaterina N. Peregorodova, Svetlana A. Usacheva, Nikita M. Ryskin

Saratov State University named after N. G. Chernyshevsky, Saratov, Russia

Abstract: Forced synchronization of a simple model of a three-mode self-oscillator which demonstrates appearance of self-modulation is considered. External driving at the fundamental frequency as well as at the self-modulation satellite frequency is considered. Structures of synchronization domains on the driving frequency — driving amplitude parameter plane and mechanisms of transition to the synchronous regime are investigated for the cases of single-mode and self-modulated operation of the free-running oscillator.

Keywords: nonlinear oscillations, automodulation, synchronization, mode competition.

Full text: PDF file (571 kB)
References: PDF file   HTML file
UDC: 537.86/530.182
MSC: 34C15, 34D06
Received: 07.08.2012
Revised: 10.09.2012

Citation: Ekaterina N. Peregorodova, Svetlana A. Usacheva, Nikita M. Ryskin, “On the theory of forced synchronization of self-modulated oscillations”, Nelin. Dinam., 8:5 (2012), 913–929

Citation in format AMSBIB
\Bibitem{PerUsaRys12}
\by Ekaterina~N.~Peregorodova, Svetlana~A.~Usacheva, Nikita~M.~Ryskin
\paper On the theory of forced synchronization of self-modulated oscillations
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 5
\pages 913--929
\mathnet{http://mi.mathnet.ru/nd378}


Linking options:
  • http://mi.mathnet.ru/eng/nd378
  • http://mi.mathnet.ru/eng/nd/v8/i5/p913

    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
  • Нелинейная динамика
    Number of views:
    This page:118
    Full text:46
    References:31
    First page:1

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