Abstract The biological Hodgkin–Huxley model and its simplified versions have confirmed its
effectiveness for recognizing and understanding the electrical activities in neurons, and …

The nervous system is composed of a large number of neurons, and the electrical activities
of neurons can present multiple modes during the signal transmission between neurons by …

Chaotic Resonance (CR), whereby the response of a nonlinear system to a weak signal can
be enhanced by the assistance of chaotic activities that can be intrinsic or extrinsic, has …

We study the synchronization dynamics for a system of two Hodgkin-Huxley (HH) neurons
coupled diffusively or through pulselike interactions. By calculating the maximum transverse …

In order to model neuronal behavior or to interpret the results of modeling studies,
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …

It is a challenging problem to establish safe and simple therapeutic methods for various
complicated diseases of the nervous system, particularly dynamical diseases such as …

This paper presents an investigation of dynamics of the coupled nonidentical FHN models
with synaptic connection, which can exhibit rich bifurcation behavior with variation of the …

In this paper, the dynamic properties of a simplified memristive Hodgkin–Huxley (SMHH)
neuron model are analyzed and an electric circuit is designed to completely implement it …

This paper is devoted to investigating the analytical solutions of the modified FitzHugh-
Nagumo (FHN) neuron model with external electric fields through by the discrete mapping …

Recent advances in the experimental and theoretical study of dynamics of neuronal
electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal …