G. A. Leonov, “Generalization of the Andronov–Vitt theorem”, Regul. Chaotic Dyn., 2006, том 11, выпуск 2,страницы 281

Эта публикация цитируется в 45 статьях

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

Аннотация: 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.

Ключевые слова: Orbital stability, Zhukovski stability, Characteristic exponent, Poincaré section.

MSC: 34D20

Принята в печать: 01.07.2005

Язык публикации: английский

DOI: 10.1070/RD2006v011n02ABEH000351