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On the 70th birthday of L.P. Shilnikov
To the theory of coupled oscillations passing through the resonance
A. A. Karabanova, A. D. Morozovb 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.
Поступила в редакцию: 26.07.2005 Принята в печать: 15.11.2005
Образец цитирования:
A. A. Karabanov, A. D. Morozov, “To the theory of coupled oscillations passing through the resonance”, Regul. Chaotic Dyn., 11:2 (2006), 259–268
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd672 https://www.mathnet.ru/rus/rcd/v11/i2/p259
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