Derived from Lorenz-Haken equations, this paper presents a new 4D chaotic laser system
with three equilibria and only two quadratic nonlinearities. Dynamics analysis, including …

Bursting is a phenomenon found in a variety of physical and biological systems. For
example, in neuroscience, bursting is believed to play a key role in the way information is …

Prominent changes in neuronal dynamics have previously been attributed to a specific
switch in onset bifurcation, the Bogdanov-Takens (BT) point. This study unveils another …

The biophysical properties of neurons not only affect how information is processed within
cells, they can also impact the dynamical states of the network. Specifically, the cellular …

This paper investigates the Andronov–Hopf and Bogdanov–Takens bifurcations in a three-
dimensional Hindmarsh–Rose system with switching dynamics. A switching policy is applied …

In this work, we consider a general conductance-based neuron model with the inclusion of
the acetycholine sensitive, M-current. We study bifurcations in the parameter space …

Le travail, dans ce mémoire se présentera de la maniére suivante. Nous donnerons une
analyse détaillée des systémes dynamiques et de leur stabilité dans le premier chapitre …

Information processing in the brain crucially depends on encoding properties of single
neurons, with particular relevance of the spike-generation mechanism. The latter hinges …