The author wishes to describe the development of singular perturbations, including its
history, accumulating literature, and its current status, as he (somewhat personally) …

The emergence of various power electronic devices, including voltage source converters
(VSCs), has greatly changed the dynamics of power systems. It is a great challenging to put …

In this paper, singular perturbation theory is exploited to obtain a reduced-order model of a
slow–fast piecewise linear 2-DOF oscillator subjected to harmonic excitation. The …

Due to various controls in voltage-source converters, their impacts and mutual influences on
transient stability of new-generation power systems are still obscure. Different from the …

This book presents a detailed and contemporary account of the classical theory of
convergence of semigroups and its more recent development treating the case where the …

In most papers focused on the system order reduction models, describing processes of
heating, evaporation and ignition in fuel sprays, it is assumed that all functions in …

The previously developed approach to modelling of critical phenomena, based on the
geometrical theory of singular perturbations and asymptotic expansions by Mishchenko …

This article investigates the complex phenomena of canard explosion with mixed-mode
oscillations, observed from a fractional-order FitzHugh–Nagumo (FFHN) model. To …

A previously developed model for mono-component droplet evaporation is revisited using
new mathematical tools for its analysis. The analysis is based on steady-state mass …

In dynamic DNA nanotechnology, the DNA strand displacement technique provides the
cornerstone for the bottom-up design of a man-made DNA molecular system. Practically, a …