This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

In this article, we construct an excitable memristive diffusive neuron model by considering a
biophysical slow–fast bursting oscillator and study the effects of electromagnetic induction …

The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s,
became a key model providing a simplified view of excitable neuron cell behavior. Its …

This paper investigates the dynamics of a discrete FitzHugh-Nagumo (FHN) model with self-
diffusion on two-dimensional coupled map lattices. The primary objective is to analyze the …

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

The Selkov system, which is typically employed to model glycolysis phenomena, unveils
some rich dynamics and some other complex formations in biochemical reactions. In the …

This paper investigates the complete synchronization for linearly coupled neural networks
with time-varying delays and reaction–diffusion terms by using the aperiodically intermittent …

This study aims to address the topic of finite-time synchronization within a specific subset of
fractional-order Degn–Harrison reaction–diffusion systems. To achieve this goal, we begin …

The aim of this work is to describe the dynamics of a discrete fractional-order reaction–
diffusion FitzHugh–Nagumo model. We established acceptable requirements for the local …

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 …