In this article multiple and generic bifurcations of planar discrete-time Hindmarsh-Rose
oscillator are investigated in detail by bifurcation theory and numerical continuation …

In this paper, the effects of asymmetry in an electrical synaptic connection between two
neuronal oscillators with a small discrepancy are studied in a 2D Hindmarsh–Rose model …

Neuronal excitabilities behave as the basic and important dynamics related to the transitions
between firing and resting states, and are characterized by distinct bifurcation types and …

In this paper, the effects of a threshold electromagnetic induction, as well as an asymmetry in
the electrical synaptic coupling between two neuronal oscillators, are studied through a 2D …

This article is focused on studying the spatially extended reaction-diffusion system with a
diagonal diffusion matrix in a bounded domain for a biophysically motivated excitable …

Different architectures and techniques have developed in the neuromorphic field to mimic
and investigate the activity of biological neural networks. This paper presents a set of piece …

Hyperpolarization-activated cyclic nucleotide-gated cation current (I h) plays important roles
in the achievement of many physiological/pathological functions in the nervous system by …

Magnetic flux and Josephson junctions play intriguing roles in manifesting the dynamics of
biological neurons. To comprehend their importance, we consider a pair of coupled 2D …

In this paper, the two-parameter bifurcations of a two-dimensional discrete Hindmarsh–Rose
model is discussed. It is shown that the system undergoes 1: 2 and 1: 4 resonances by using …

The negative or hyperpolarization pulse stimulation induces action potential, ie the post-
inhibitory rebound spike, which has been widely observed in various single neurons with …