Spiral wave of a two-layer coupling neuronal network with multi-area channels

Abstract

Using the Hindmarsh–Rose (HR) model, a two-layer neuronal network is constructed to study the spiral wave dynamics. The first layer generates spiral wave induced by random values of boundary under appropriate coupling intensity and external force, and the second layer is in the different states. Coupling channels between the two layers are set in multiple areas and spiral wave of first layer affect second layer via the coupling channels. The spatiotemporal pattern of neuronal network is investigated in the second layer. It is shown that spiral wave can be found under appropriate conditions, multi-area channels are more likely to generate spiral waves and target waves than only one local coupling area. A statistical variable on the second layer is calculated by increasing intensity of channels between layers. The larger the coupling areas between layers, the more obvious the synchronism phenomenon is.