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, 2006, Volume 11, Issue 2, Pages 281–289
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000351 (Mi rcd674) 		 
This article is cited in 45 scientific papers (total in 45 papers)

On the 70th birthday of L.P. Shilnikov

Generalization of the Andronov–Vitt theorem

G. A. Leonov

Department of Mathematics and Mechanics, Saint Petersburg State University, 2, Bibliotechnaya pl., Petrodvoretz, 198904 Saint Petersburg, Russia
Citations (45)
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000351
Abstract: A definition of Zhukovski stability is introduced. A new research tool— a moving Poincaré section— is considered. With the help of this tool, generalizations of the Andronov–Vitt and Demidovich theorems are obtained.
Keywords: Orbital stability, Zhukovski stability, Characteristic exponent, Poincaré section.

Accepted: 01.07.2005
Bibliographic databases:
Document Type: Article
MSC: 34D20
Language: English
Citation: G. A. Leonov, “Generalization of the Andronov–Vitt theorem”, Regul. Chaotic Dyn., 11:2 (2006), 281–289
Citation in format AMSBIB
\Bibitem{Leo06}
\by G. A. Leonov
\paper Generalization of the Andronov–Vitt theorem
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 2
\pages 281--289
\mathnet{http://mi.mathnet.ru/rcd674}
\crossref{https://doi.org/10.1070/RD2006v011n02ABEH000351}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245083}
\zmath{https://zbmath.org/?q=an:1164.34448}
Linking options:
  • https://www.mathnet.ru/eng/rcd674
  • https://www.mathnet.ru/eng/rcd/v11/i2/p281
    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:220
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024