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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}
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    • This publication is cited in the following 45 articles:
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