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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2010, том 15, выпуск 2-3, страницы 274–284 (Mi rcd494)

Эта публикация цитируется 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.

MSC: 37D45, 37L20, 93A30, 93C10, 93C15

Поступила в редакцию: 04.12.2009
Принята в печать: 22.12.2009

Язык публикации: английский

DOI: 10.1134/S1560354710020140



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