Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling

Abstract

We explore the emergence of various dynamic states within neurons interconnected in a multiplex setting with higher-order coupling. Using the Hindmarsh–Rose model as a representation of multiplex network dynamics, we examine scenarios where the primary layer is interacting through higher-order synaptic coupling while the secondary layer exhibits higher-order electric coupling. We examine the behavior of neurons within each layer individually and identify various emerging activity patterns, including synchronization, amplitude and oscillation death. When combining both layer through feedback mechanisms, we notice that the phenomenon of oscillation death shifts from the first layer to the second as the intralayer coupling intensifies. Multiplexing can also induces oscillation death in both the layers even when first layer is uncoupled. We also show that increasing the strength of synaptic coupling results in revival of oscillation in both the layers. © 2024 Elsevier Ltd