This paper presents a study on a memristive two-neuron-based Hopfield neural network with
fractional-order derivatives. The equilibrium points of the system are identified, and their …

In this paper, a three-dimensional fractional-order (FO) discrete Hopfield neural network
(FODHNN) in the left Caputo discrete delta's sense is proposed, the dynamic behavior and …

This paper proposes a new memristor model and uses pinched hysteresis loops (PHL) to
prove the memristor characteristics of the model. Then, a new 6D fractional-order memristive …

In this research, we introduce and investigate a variable-order fractional memristor neural
network, focusing on its engineering applications in synchronization and image encryption …

Locally active memristor has become a research hotspot, and plays an important role in the
research of neural networks. In order to study the dynamic behavior of synaptic crosstalk …

Fractional-order differentiation (FOD) can record information from the past, present, and
future. Compared with integer-order systems, FOD systems have higher complexity and …

This paper proposes a fractional-order memristor-coupled Hindmarsh–Rose neurons model,
which the number and stability of equilibrium points are related to the coupling strength. By …

In this work, we propose a new fractional-order chaotic system based on the model of 4-
neurons-based Hopfield Neural Network (HNN). By using Adomain decomposition method …

Bursting is a diverse and common phenomenon in neuronal activation patterns and it
indicates that fast action voltage spiking periods are followed by resting periods. The …

Memristor is an ideal electronic device used as an artificial nerve synapse due to its unique
memory function. This article presents a design of a new Hopfield neural network (HNN) that …