Abstract
•Synchronization is dependent on the coupling channel and coupling device.•Memristor coupling introduces a kind of field coupling and voltage coupling.•Energy pumping in the coupling memristor is estimated.•Resetting and modulation of initial value can induces synchronization transition.
Continuous energy flow is pumped and propagated via the coupling components, which are activated to build coupling channel between two nonlinear circuits. When the coupling channels are bridged to different output ends, these coupling devices show much difference in pumping and balancing energy flow from the coupled circuits. In this paper, a memristor is used to bridge connection between different outputs ends of the Pikovsk-Rabinovich circuits, and coupling synchronization is investigated carefully. It is found that complete synchronization can be realized when the coupling channel is connected to the output ends for capacitors, while complete synchronization is blocked to stabilize phase synchronization when memristor is used to connect the output ends for tunnel diodes. Finally, the coupling mechanism is discussed by calculating the energy pumping in the coupling memristor. Indeed, the involvement of memristor in the coupling channel introduces a kind of nonlinear coupling as field coupling, and the synchronization transition and stability are much dependent on the intrinsic properties of the coupling channel.