The memristor has drawn a significant interest in the fields of neuromorphic circuits because
the nanoscale memristor is a strong candidate to become the critical element of novel ultra …

A three-dimensional (3D) autonomous Morris–Lecar (simplified as M–L) neuron model with
fast and slow structures was proposed to generate periodic bursting behaviors. However …

In this paper, we generalize the integer-order cable model of the neuron system into the
fractional-order domain, where the long memory dependence of the fractional derivative can …

The fourth basic two-terminal circuit element has been called the memristor because its
resistance (conductance) depends on the complete past history of the memristor current …

This paper addresses dynamic synchronization of two FitzHugh–Nagumo (FHN) systems
coupled with gap junctions. All the states of the coupled chaotic system, treating either as …

After investigating the effect of the frequency of an external electrical stimulation on the
chaotic dynamics of a single FitzHugh–Nagumo (FHN) neuron, this paper derives both a …

A model of solitonic conduction in neuronal branchlets with microstructure is presented. The
application of cable theory to neurons with microstructure results in a nonlinear cable …

In this paper, a robust control system combining backstepping and sliding mode control
techniques is used to realize the synchronization of two gap junction coupled chaotic …

Backstepping design is a recursive procedure that combines the choice of a Lyapunov
function with the design of a controller. In this paper, the backstepping control is used to …

The synchronization of neurons coupled with gap junction in the condition of external
electrical stimulation is investigated. In this paper, the coupled model is established on the …