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Эта публикация цитируется в 15 научных статьях (всего в 15 статьях)
On the 75th birthday of Professor L.P. Shilnikov
Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling
V. N. Belykh, E. V. Pankratova Mathematics Department, Volga State Academy, Nizhny Novgorod, 603950, Russia
Аннотация:
We consider a system of two coupled Van der Pol-Duffing oscillators with Huygens coupling as an appropriate model of two mechanical oscillators connected to a movable platform via a spring. We examine the complicated dynamics of the system and study its multistable behavior. In particular, we reveal the co-existence of several chaotic regimes and study the structure of the associated riddled basins.
Ключевые слова:
Van der Pol–Duffing oscillator, coupled systems, chaotic oscillations.
Поступила в редакцию: 04.12.2009 Принята в печать: 22.12.2009
Образец цитирования:
V. N. Belykh, E. V. Pankratova, “Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling”, Regul. Chaotic Dyn., 15:2-3 (2010), 274–284
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd494 https://www.mathnet.ru/rus/rcd/v15/i2/p274
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