Control and synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators

In this work, a master–slave configuration is studied to obtain synchronization between the Duffing-van der Pol oscillator with asymmetric potential and the Φ 6 Duffing oscillator. For this configuration, we compare the systems when the dissipative coupling and one that combines the elastic and dissipative couplings are used. We analyze the coupling strength to find the range where synchronization between the oscillators is achieved. We found synchronization between the oscillators for large values of the coupling strength. The numerical results demonstrate that for the dissipative coupling exits partial synchronization while for the other exits complete synchronization.