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

A series of bifurcations from period-1 bursting to period-1 spiking in a complex (or simple)
process were observed with increasing extra-cellular potassium concentration during …

The effect of autapse on adjusting the membrane of potentials of neuron is described by
imposing a time-delayed feedback on the membrane of neuron in a close loop type, and the …

Pancreatic beta-cells produce insulin to regularize the blood glucose level. Bursting is
important in beta cells due to its relation to the release of insulin. Pernarowski model is a …

Nonlinear dynamics play an important role in identifying complex behaviors, dynamical
mechanisms, and physiological functions of the neural firing activities. In contrast to the …

We study a plethora of chaotic phenomena in the Hindmarsh-Rose neuron model with the
use of several computational techniques including the bifurcation parameter continuation …

The transition from chaotic bursting to chaotic spiking has been simulated and analyzed in
theoretical neuronal models. In the present study, we report experimental observations in a …

Slow brain rhythms, for example during slow-wave sleep or pathological conditions like
seizures and spreading depolarization, can be accompanied by oscillations in extracellular …

Square-wave or fold/hom bursting is typical of many excitable dynamical systems, such as
pancreatic or other endocrine cells. Besides, it is also found in a great variety of fast-slow …

ABSTRACT The Hindmarsh–Rose neural model is widely accepted as an important
prototype for fold/hom and fold/Hopf burstings. In this paper, we are interested in the …