Two Van der Pol-Duffing oscillators with Huygens coupling
Alexander Pogromsky, Henk NIJMEIJER, Vladimir N. Belykh, Evgeniya Pankratova
We consider a system of two Van der Pol-Duffing oscillators with Huygens (speeding up) coupling. This system serves as appropriate model for Huygens synchronization of two mechanical clocks hanging from a common support. We examine the main regimes of complete and phase synchronization, and study the dependence of their onset on the initial conditions. In particular, we reveal co-existence of two
chaotic phase synchronized modes and study the structure of their complicated riddled basins.