A. A. Karabanov, A. D. Morozov, “To the theory of coupled oscillations passing through the resonance”, Regul. Chaotic Dyn., 2006, том 11, выпуск 2,страницы 259

On the 70th birthday of L.P. Shilnikov

To the theory of coupled oscillations passing through the resonance

A. A. Karabanov^a, A. D. Morozov^b

^a Department of Mathematics, Komi Science Center, Ural Division of RAS, 3a Chernov Street, Syktyvkar 167982, Komi, Russia
^b Department of Mathematics and Mechanics, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia

Аннотация: The problem of coupled oscillations is considered in the case when a stable equilibrium of a globally averaged system passes through a resonance curve. Questions of persistence of invariant tori and transition to a self-synchronization are particularly discussed.

Ключевые слова: near-integrable systems, coupled oscillations, resonances, self-synchronization.

MSC: 34C15, 34C28, 37G35, 70K30

Поступила в редакцию: 26.07.2005
Принята в печать: 15.11.2005

Язык публикации: английский

DOI: 10.1070/RD2006v011n02ABEH000349