Network dynamics of coupled Chua circuits: comparison of different coupling elements

The dynamics of coupled chaotic circuits have particular importance in many applications. The Chua circuit is a well-known chaotic circuit that has been applied in various studies. In this paper, we investigate the network of Chua circuits in different coupling schemes. We consider three cases where the circuits are coupled through resistors, memristors, and inductors. The synchronization behavior of the network is examined for each case. It is observed that the nonstationary chimera is formed in coupled circuits in all coupling schemes. Complete synchronization can be achieved only in resistive coupling. In memristive coupled circuits, increasing the coupling strength leads to the instability of the network, while in the inductor coupling, the synchronization appears only among two variables, and the third variable cannot be synchronized.

Automated summary

The dynamics of coupled chaotic circuits, especially the Chua circuit, have been extensively studied in this paper. The formation of nonstationary chimera is observed in all coupling schemes. Only resistive coupling can achieve complete synchronization.