Regarded less than two decades ago as the province of theoreticians and understood
mainly in terms of a single-step, exothermic, homogeneous reaction in a well-stirred vessel …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

We investigate the interaction of an excitable system with a slow oscillation. Under robust
and general assumptions compatible with the more stringent assumptions usually made …

Burst activity is characterized by slowly alternating phases of near steady state behavior and
trains of rapid spike-like oscillations; examples of bursting patterns are shown in Fig. 2 …

This paper explores analytically and numerically, in the context of the FitzHugh–Nagumo
model of nerve membrane excitability, an interesting phenomenon that has been described …

Various nerve, muscle, and secretory cells exhibit complex electrical activity which has been
observed experimentally by using intracellular electrodes to monitor the dynamics of the …

We describe a classification scheme for bursting oscillations which encompasses many of
those found in the literature on bursting in excitable media. This is an extension of the …

A prototype model is exploited to reveal the origin of mixed‐mode oscillations. The initial
oscillatory solution is born at a supercritical Hopf bifurcation and exhibits subsequent period …

In this article, we construct an excitable memristive diffusive neuron model by considering a
biophysical slow–fast bursting oscillator and study the effects of electromagnetic induction …

Our experiments on the manganese‐catalyzed Belousov–Zhabotinskii reaction in a stirred
flow reactor reveal many sequences of distinct multipeaked periodic states. In the parameter …