General synchronization dynamics of coupled Van der Pol–Duffing oscillators
This paper considers the general synchronization dynamics of coupled Van der Pol–Duffing oscillators. The linear
and nonlinear stability analysis on the synchronization process is derived through the Whittaker method and the
Floquet theory in addition to the multiple time scales method. A stability map displaying different dynamical states of the
system is performed. Numerical simulation is carried out to support and to complement the accuracy of the analytical
treatment.