Traveling patterns in a network of memristor-based oscillators with extreme multistability

The study of collective behaviors in the networks of memristive systems has achieved negligible attention. In this paper, a ring network of memristive based Wien-bridge oscillators is investigated. The Wien-bridge oscillator exhibits extreme multistability. Therefore, the initial conditions of the network can play an important role in the emergence of different spatiotemporal patterns. Here, the initial conditions are chosen in a small region, in which a single oscillator shows various attractors with similar topologies. It is observed that by varying the coupling strength and coupling range, various patterns are formed. In most of the appeared patterns, the traveling of coexistent coherent and incoherent oscillators is observed, whether in a part of the pattern or in the whole. It seems that the traveling patterns are formed due to the multistability of the oscillators and their time-scaled time series. Overall, by varying the coupling parameters, several patterns such as chimera state, traveling chimera and nonstationary chimera, are emerged in the network.