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
Citation:
Belykh V. N., Pankratova E. V., Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling, Regular and Chaotic Dynamics,
2010, Volume 15, Numbers 2-3,
pp. 274-284