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.
|Title of host publication||Dynamics and control of hybrid dynamical systems|
|Editors||G. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov|
|Place of Publication||Singapore|
|Publication status||Published - 2009|
|Name||World scientific series on nonlinear science. Series B|