The concept of Turing instability, namely that diffusion can destabilize the homogenous
steady state, is well known either in the context of partial differential equations (PDEs) or in …

Real neurons connect to each other non-randomly. These connectivity graphs can
potentially impact the ability of networks to synchronize, along with the dynamics of neurons …

The Spiking Neural Network (SNN) model is a third-generation neural network model that
uses spike pulse trains to detect and classify electrical problems in the electrical equipment …

Bursting of neuronal firing is an interesting dynamical consequences depending on fast/slow
dynamics. Certain cells in different brain regions produce spike-burst activity. We study such …

Starting from the concept of binary interactions between pairs of particles, a kinetic
framework for the description of the action potential dynamics on a neural network is …