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, 2023, Volume 19, Number 3, Pages 383–388
DOI: https://doi.org/10.20537/nd230906 (Mi nd860) 		 
Mathematical problems of nonlinearity

A Note on Forced Oscillations in Systems on a Plane

I. Yu. Polekhinabcd

a Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, 141701 Russia
b Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000 Russia
c Steklov Mathematical Institute of the Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
d Lomonosov Moscow State University, Leninskie Gory, Moscow, 119234 Russia
Full-text PDF (293 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd230906
Abstract: A sufficient condition for the existence of forced oscillations in nonautonomous systems on a plane is presented under the assumption that the magnitude of the nonautonomous perturba- tion is small. An advantage of the results presented over analytic methods is that they can be applied in degenerate systems as well.
Keywords: periodic systems, forced oscillations, systems on a plane, degenerate systems, center.
Funding agency Grant number
Russian Science Foundation 19-71-30012
This work was supported by the Russian Science Foundation (Agreement No. 19-71-30012).
Received: 17.03.2023
Accepted: 28.06.2023
Bibliographic databases:
Document Type: Article
MSC: 70K40, 34C15
Language: English
Citation: I. Yu. Polekhin, “A Note on Forced Oscillations in Systems on a Plane”, Rus. J. Nonlin. Dyn., 19:3 (2023), 383–388
Citation in format AMSBIB
\Bibitem{Pol23}
\by I. Yu. Polekhin
\paper A Note on Forced Oscillations in Systems on a Plane
\jour Rus. J. Nonlin. Dyn.
\yr 2023
\vol 19
\issue 3
\pages 383--388
\mathnet{http://mi.mathnet.ru/nd860}
\crossref{https://doi.org/10.20537/nd230906}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4665100}
Linking options:
  • https://www.mathnet.ru/eng/nd860
  • https://www.mathnet.ru/eng/nd/v19/i3/p383
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Russian Journal of Nonlinear Dynamics
    Statistics & downloads:
    Abstract page:50
    Full-text PDF :23
    References:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024