This article is cited in 48 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

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.

MSC: 34D20


Accepted: 01.07.2005

Language: English

DOI: 10.1070/RD2006v011n02ABEH000351

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