3 papers
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…
math.DS2023
Noise-induced instabilities in a stochastic Brusselator
Maximilian Engel, Guillermo Olicón-Méndez
We consider a stochastic version of the so-called Brusselator - a mathematical model for a two-dimensional chemical reaction network - in which one of its parameters is assumed to…
math.DS2022
Synchronization and random attractors for reaction jump processes
Maximilian Engel, Guillermo Olicón-Méndez, Nathalie Unger +1
This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks. A corresponding random d…