Regular and Chaotic 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


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Regular and Chaotic Dynamics, 2009, Volume 14, Issue 2, Pages 237–247
DOI: https://doi.org/10.1134/S156035470902004X (Mi rcd549) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Resonances in Systems of Two Weakly Coupled Oscillators

A. D. Morozov, R. E. Kondrashov

Department of Mathematics and Mechanics, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia
Citations (2)
DOI: https://doi.org/10.1134/S156035470902004X
Abstract: Assuming that two weakly coupled oscillators are essentially nonlinear we construct the most suitable form of a shortened 3-dimensional system which describes behavior of solutions inside non-degenerate resonance zones. We analyze a model system of that kind and establish the existence of limit cycles of different types and also the existence of nonregular attractors which are explained by the existence of saddle-focus loops.
Keywords: oscillators, resonances, cycles, equilibrium, attractors, average.
Received: 12.01.2009
Accepted: 19.02.2009
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C28, 37G35
Language: English
Citation: A. D. Morozov, R. E. Kondrashov, “On Resonances in Systems of Two Weakly Coupled Oscillators”, Regul. Chaotic Dyn., 14:2 (2009), 237–247
Citation in format AMSBIB
\Bibitem{MorKon09}
\by A. D. Morozov, R. E. Kondrashov
\paper On Resonances in Systems of Two Weakly Coupled Oscillators
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 2
\pages 237--247
\mathnet{http://mi.mathnet.ru/rcd549}
\crossref{https://doi.org/10.1134/S156035470902004X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2505427}
\zmath{https://zbmath.org/?q=an:1229.34055}
Linking options:
  • https://www.mathnet.ru/eng/rcd549
  • https://www.mathnet.ru/eng/rcd/v14/i2/p237
    • 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
    Statistics & downloads:
    Abstract page:65
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024