Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 141–153 (Mi timm815)  
This article is cited in 5 scientific papers (total in 5 papers)

Oscillations near a separatrix in the Duffing equation

O. M. Kiselev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (241 kB) Citations (5)
References:
PDF
HTML
Abstract: A small periodic perturbation results in a complicated dynamics near separatrices and saddle points. A two-parameter family of asymptotic solutions staying near separatrices for a long time is constructed. Solutions from this family depend nonsmoothly on the disturbance parameter. An example is given in which the values of the disturbance parameter for this family of solutions are determined by a set with structure of the type of the Cantor set.
Keywords: perturbation, separatrix, oscillations.
Received: 01.10.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 281, Issue 1, Pages 82–94
DOI: https://doi.org/10.1134/S0081543813050088
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: O. M. Kiselev, “Oscillations near a separatrix in the Duffing equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 141–153; Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 82–94
Citation in format AMSBIB
\Bibitem{Kis12}
\by O.~M.~Kiselev
\paper Oscillations near a~separatrix in the Duffing equation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 2
\pages 141--153
\mathnet{http://mi.mathnet.ru/timm815}
\elib{https://elibrary.ru/item.asp?id=17736193}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 281
\issue , suppl. 1
\pages 82--94
\crossref{https://doi.org/10.1134/S0081543813050088}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000320460300008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879181203}
Linking options:
  • https://www.mathnet.ru/eng/timm815
  • https://www.mathnet.ru/eng/timm/v18/i2/p141
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:253
    Full-text PDF :77
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024