Multi-chimera states in a higher order network of FitzHugh-Nagumo oscillators

A chimera state represents a distinct configuration within interconnected oscillatory networks comprising both coherent and incoherent oscillators. In specific scenarios, multiple sets of synchronized systems can coexist, forming what is termed a multi-chimera state. This phenomenon has previously been documented in a network of FitzHugh-Nagumo systems under strong coupling conditions. In this study, we explore the impact of higher order interactions on the manifestation of multi-chimera states and their respective domains. The assessment involves utilizing measures of incoherence and discontinuity. The findings indicate that higher order networks are more prone to exhibiting multi-chimera states. Additionally, complete coherence is achieved with lower first-order coupling strength. Furthermore, the higher order network displays instances of imperfect chimera and imperfect synchronization.