Chimera states in coupled memristive chaotic system s: Effects of control parameters

The study of the collective behavior of oscillators has attracted great attention in recent years. Among all dynamical systems, multi-stable systems have received particular attention. This paper considers a ring network of non-locally coupled VB5 chaotic systems exhibiting multistability with linear coupling. The collective patterns of the oscillators are investigated by taking various internal parameters of memristors as the bifurcation parameter. The network's state is characterized by computing the strength of incoherence. Moreover, the variations of the coupling strength and the number of neighbors in connections are considered to check out the coupling effects. The synchronous, chimera, and asynchronous states are visible in the network under different parameters. It is observed that as the dynamics of the oscillators become more complex, the behavior of the network transits to more asynchrony. The results also show that the network represents the chimera state both in monostable arid multistable modes. In rnonostable mode, the oscillators of the synchronized and asynchronized groups belong to one attractor. In contrast, in the multistable mode, each group oscillates in one of the existing attractors. Copyright (C) 2022 EPLA

Automated summary

The collective behavior of oscillators in a ring network of non-locally coupled VB5 chaotic systems with multistability is studied in this paper. The patterns of the oscillators are investigated by adjusting various internal parameters, and the state of the network is characterized by computing the strength of incoherence. The effects of coupling strength and number of neighbors in connections are considered, and synchronous, chimera, and asynchronous states are observed under different parameters.