Details
The memristor crossbar architecture is a new technology that combines memory and computing on the same chip, finding numerous applications in modern bio-inspired computing systems. Recently, memristor-coupled Chua Circuit Networks (MCCNs) have been developed for the experimental confirmation of collective nonlinear phenomena, such as chimera states, that are also observed in the brain. For highly dense topologies, however, memristor crossbars can be prone to certain vulnerabilities. In this paper, we investigate the impact of one of these vulnerabilities, the so-called sneak-path currents (SPCs), on the collective behaviors of chaotic oscillator networks by uncovering the network's tolerance to various realistic memristor crossbar designs. Despite the fact that these states alter the synchronization regime map, our findings suggest that SPCs have no detrimental impact on the formation and stability of single or multiple chimera states. This coupling issue, along with other possible challenges, is thoroughly discussed with a focus on nonlinear dynamics, highlighting the reliability of memristor crossbars as a coupling mechanism for studying chimera states.