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.
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Dedicated to Leonid P. Shilnikov on the occasion of his 75th birthday
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Belykh, V.N., Pankratova, E.V. Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling. Regul. Chaot. Dyn. 15, 274–284 (2010). https://doi.org/10.1134/S1560354710020140
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DOI: https://doi.org/10.1134/S1560354710020140