Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 310, Pages 267–279
DOI: https://doi.org/10.4213/tm4112 (Mi tm4112) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some Results on the Existence of Forced Oscillations in Mechanical Systems

Ivan Yu. Polekhin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (246 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4112
Abstract: We present sufficient conditions for the existence of forced oscillations in nonautonomous mechanical systems. Previously, similar results have been obtained for systems with friction. The results presented here hold for systems both with and without friction. Some examples are given.
Keywords: forced oscillations, periodic solutions, inverted pendulum, geodesic, Nagumo condition, Lefschetz–Hopf theorem, Ważewski method.
Funding agency Grant number
Russian Science Foundation 19-71-30012
This work is supported by the Russian Science Foundation under grant 19-71-30012.
Received: December 3, 2019
Revised: December 3, 2019
Accepted: May 26, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 310, Pages 250–261
DOI: https://doi.org/10.1134/S0081543820050193
Bibliographic databases:
Document Type: Article
UDC: 517.925.42
Language: Russian
Citation: Ivan Yu. Polekhin, “Some Results on the Existence of Forced Oscillations in Mechanical Systems”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 267–279; Proc. Steklov Inst. Math., 310 (2020), 250–261
Citation in format AMSBIB
\Bibitem{Pol20}
\by Ivan~Yu.~Polekhin
\paper Some Results on the Existence of Forced Oscillations in Mechanical Systems
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 310
\pages 267--279
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4112}
\crossref{https://doi.org/10.4213/tm4112}
\elib{https://elibrary.ru/item.asp?id=45114624}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 310
\pages 250--261
\crossref{https://doi.org/10.1134/S0081543820050193}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000595790500019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85097053477}
Linking options:
  • https://www.mathnet.ru/eng/tm4112
  • https://doi.org/10.4213/tm4112
  • https://www.mathnet.ru/eng/tm/v310/p267
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:236
    Full-text PDF :68
    References:27
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024