Noise and time-delays are ubiquitous in physical and biological systems. In this paper, the
multiple time-delays coupled FitzHugh-Nagumo (FHN) models is employed to investigate …

This book provides a complete study on neural structures exhibiting nonlinear and
stochastic dynamics. The book elaborates on neural dynamics by introducing advanced …

It is an established fact that a positive wave number plays an essential role in Turing
instability. However, the impact of a negative wave number on Turing instability remains …

Chaotic systems have potential applications in secure communication and image
encryption. The FitzHugh-Nagumo (FHN) neuron circuit model, as one of the most important …

In this paper, a fractional-order Morris–Lecar (M–L) neuron model with fast-slow variables is
firstly proposed. The fractional-order M–L model is a generalization of the integer-order M–L …

The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the
function of the so-called membrane potential, exhibits various formations in neuronal …

This paper addresses the problem of an adaptive synchronization of two chaotic Hindmarsh–
Rose (HR) neurons coupled with a gap junction via a single control input. Two adaptive …

In the present paper, we have studied the dynamics of coupled chaotic Bonhoeffer–van der
Pol (BvP) electrical oscillators. In the case of series connection and bidirectional coupling …

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 …

In present work, in order to reproduce spiking and bursting behavior of real neurons, a new
hybrid biological neuron model is established and analyzed by combining the FitzHugh …