Many postgraduate students, postdocs and researchers ask me for 'textbook'references on
geometric singular perturbation theory and canard theory. Unfortunately, there is 'not much …

Abstract The classical Chapman–Enskog procedure admits a substantial geometrical
generalization known as slow manifold reduction. This generalization provides a paradigm …

Natural processes usually are driven by mechanisms widely differing from each other by the
time or space scale at which they operate. Thus, they should be described by appropriate …

A realistic real-time simulation of a complex system, such as an excavator, requires detailed
description of the machinery and its components. To take into account the dynamics of entire …

In this work, we revisit the scaling analysis and commonly accepted conditions for the
validity of the standard, reverse and total quasi-steady-state approximations through the lens …

We present a method to determine the reduction of a (polynomial or rational) ordinary
differential equation that models a chemically reacting system, under the assumption that …

For a parameter-dependent system of ordinary differential equations we present a
systematic approach to the determination of parameter values near which singular …

In this note, we discuss the range of parameters for which the total quasi-steady-state
approximation of the Michaelis–Menten reaction mechanism holds validity. We challenge …

Efficient descriptions of open quantum systems can be obtained by performing an adiabatic
elimination of the fast degrees of freedom and formulating effective operators for the slow …

We discuss parameter dependent polynomial ordinary differential equations that model
chemical reaction networks. By classical quasi-steady state (QSS) reduction we understand …