Russian Journal of Nonlinear 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


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Russian Journal of Nonlinear Dynamics, 2019, Volume 15, Number 3, Pages 381–394
DOI: https://doi.org/10.20537/nd190314 (Mi nd667) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical problems of nonlinearity

Conditions for Phase Locking and Dephasing of Autoresonant Pumping

O. M. Kiselev

Institute of Mathematics with Computing Centre, ul. Chernyshevskogo 112, Ufa, 450008 Russia
Full-text PDF (525 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd190314
Abstract: We study the asymptotic behavior of nonlinear oscillators under an external driver with slowly changing frequency and amplitude. As a result, we obtain formulas for properties of the amplitude and frequency of the driver when the autoresonant behavior of the nonlinear oscillator is observed. Also, we find the measure of autoresonant asymptotic behaviors for such a driven nonlinear oscillator.
Keywords: nonlinear oscillator, autoresonance, perturbations.
Received: 07.05.2019
Accepted: 20.09.2019
Bibliographic databases:
Document Type: Article
MSC: 34E10, 34C29
Language: Russian
Citation: O. M. Kiselev, “Conditions for Phase Locking and Dephasing of Autoresonant Pumping”, Rus. J. Nonlin. Dyn., 15:3 (2019), 381–394
Citation in format AMSBIB
\Bibitem{Kis19}
\by O. M. Kiselev
\paper Conditions for Phase Locking and Dephasing of Autoresonant Pumping
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 381--394
\mathnet{http://mi.mathnet.ru/nd667}
\crossref{https://doi.org/10.20537/nd190314}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4021377}
Linking options:
  • https://www.mathnet.ru/eng/nd667
  • https://www.mathnet.ru/eng/nd/v15/i3/p381
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Russian Journal of Nonlinear Dynamics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025