The diverse firing responses in a single neuron model as well as in a neuronal network play
a major role in understanding the collective neuronal dynamics. In this paper, we consider …

We review recent work on a variety of systems, from the nanometre to the centimetre scale,
including microemulsions, microfluidic droplet arrays, gels and flow reactors, in which …

We consider globally coupled networks of identical oscillators, located on the surface of a
sphere with interaction time delays, and show that the distance-dependent time delays play …

In this paper, we study an excitable, biophysical system that supports wave propagation of
nerve impulses. We consider a slow–fast, FitzHugh–Rinzel neuron model where only the …

Using finite element simulation, we study the main features of rotating wave solutions of the
cubic complex Ginzburg–Landau equation. To focus on the characteristics of the waves …

We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted
coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The …

Using Taylor series expansion, multiscaling, and further expansion in powers of a small
parameter, we develop general amplitude equations for two-variable reaction-diffusion …

Neurons can exhibit various rhythmic activities such as bursting, spiking, and quiescent
states when exposed to external input current stimulus. In this paper, a model of medicinal …

According to the conventional approach neural ensembles are modeled with fixed ionic
concentrations in the extracellular environment. However, in some cases the extracellular …

Globally, forests are increasingly being affected by invasive alien pests, some of which have
caused wholesale destruction of trees. Recent research suggests that, in the United States …