The Synchronization Behaviors of Memristive Synapse-Coupled Fractional-Order Neuronal Networks

The synchronization behaviors of memristive synapse-coupled fractional-order neuronal networks are investigated in this paper. Based on the integer-order network, a model is proposed, and ring network composed subnetworks constructed. Then, two neurons discussed numerically. These research results suggest several novel phenomena allow conclusions to be drawn. For coupled neurons, different fractional-orders can change threshold synapse parameter 1k when perfect synchronization. transitions affected by synapse. Different from model, occur before phase for some fractional-orders. Under certain external current intensity, transition between periodic chaotic occurs as changes. range larger because subnetworks, illustrate that collective including incoherent, coherent, chimera states induced fractional-order. In addition, network’s degree influenced also with changes