Fractional-Order Memristive Wilson Neuron Model: Dynamical Analysis and Synchronization Patterns

Fractional nonlinear systems have been considered in many fields due to their ability bring memory-dependent properties into various systems. Therefore, using fractional derivatives model real-world phenomena, such as neuronal dynamics, is of significant importance. This paper presents the memristive Wilson neuron and studies its dynamics a single neuron. Furthermore, collective behavior neurons researched when they are locally diffusively coupled ring topology. It found that fractional-order bistable some values order. Additionally, complete synchronization, lag phase sine-like synchronization patterns can be observed constructed network with different orders.