Impulse phenomena arising in nature, engineering, physics, and social sciences lead to
mathematical models described by impulsive systems. The impulsive actions of the models …

This article concerns the phenomenon of Mixed-Mode Bursting Oscillations (MMBOs). These
are solutions of fast-slow systems of ordinary differential equations that exhibit both small …

This contribution proposes a novel chaotic hyperjerk circuit with the new phenomenon of
mixed-mode bursting oscillations (MMBOs). The bifurcation analysis of this specific oscillator …

The pulsatile release of gonadotropin-releasing hormone (GnRH) and its frequency are
crucial for healthy reproductive function. To understand what drives GnRH pulses, a …

A parsimonious mathematical model of pulse modulated regulation of non-basal
testosterone secretion in the male is developed. The model is of the third differential order …

In mammals, the number of ovulations at each ovarian cycle is determined during the
terminal phase of follicular development by a tightly controlled follicle selection process. The …

In this work we study mixed-mode oscillations in a model of secretion of GnRH
(gonadotropin releasing hormone). The model is a phantom burster consisting of two …

Many physical systems feature interacting components that evolve on disparate time scales.
Significant insights about the dynamics of such systems have resulted from grou** time …

We analyze a six-dimensional slow–fast system consisting of two symmetrically coupled
identical oscillators. Each oscillator is a three-dimensional slow–fast system formed by a …

Oscillations in slow/fast systems can be generated locally in phase space from either slow
passage of trajectories through fast subsystem Hopf bifurcations, or from solutions tunnelling …