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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2010 Volume 15, Issue 2-3, Pages 274–284 (Mi rcd494)

This article is cited in 14 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.

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

Received: 04.12.2009
Accepted: 22.12.2009

Language: English

DOI: 10.1134/S1560354710020140



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