2 papers
math.DS2025
Unfolding the geometric structure and multiple timescales of the urea-urease pH oscillator
Arthur V. Straube, Guillermo Olicón Méndez, Stefanie Winkelmann +2
We study a two-variable dynamical system modeling pH oscillations in the urea-urease reaction within giant lipid vesicles -- a problem that intrinsically contains multiple, well-se…
math.DS2023
A singular perturbation analysis for the Brusselator
Maximilian Engel, Guillermo Olicón-Méndez
In this work we study the Brusselator - a prototypical model for chemical oscillations - under the assumption that the bifurcation parameter is of order for positive $ε\ll…