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This article is cited in 15 scientific papers (total in 15 papers)
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
Abstract:
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.
Keywords:
Van der Pol–Duffing oscillator, coupled systems, chaotic oscillations.
Received: 04.12.2009 Accepted: 22.12.2009
Citation:
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
Linking options:
https://www.mathnet.ru/eng/rcd494 https://www.mathnet.ru/eng/rcd/v15/i2/p274
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