Effects of Adaptive Memristor Crossbar Arrays on Chimera States of Fitzhugh-Nagumo Networks

Understanding the human brain's activity is an ongoing big challenge that concerns many scientific fields with the focus being on the normal and abnormal brain functionality which is characterized by the collective behavior of interacting neurons. A hybrid synchronization phenomenon, called chimera state, is described by the coexistence of coherent and incoherent regions and is considered to be capable of providing useful knowledge about the brain's functionality and certain neuro-logical disorders. The design of a brain-inspired network of coupled FitzHugh - Nagumo (FN) neurons utilizing an adaptive memristor crossbar architecture is introduced in this work. In order to explore the adaptive memristor crossbar impact on the phase synchronization, we firstly exhibit chimera state structures formed in the proposed FN network by employing a fixed mem-ristor crossbar, whose switching behavior is then enhanced with its inherent stochastic nature. Our findings imply that switching dynamics have a major influence on adaptive synchronization and that chimera states are robust by including device-to-device variability in the switching mechanisms of memristor devices, therefore paving the way for the design and modeling of chimera states.