33 citations · 189 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Continuous-time extensions of discrete-time cocycles
Robin Chemnitz, Maximilian Engel, Péter Koltai
We consider linear cocycles taking values in driven by homeomorphic transformations of a smooth manifold, in discrete and continuous time. We show that…
Canards in modified equations for Euler discretizations
Maximilian Engel, Georg A. Gottwald
Canards are a well-studied phenomenon in fast-slow ordinary differential equations implying the delayed loss of stability after the slow passage through a singularity. Recent studi…
A stochastic variant of replicator dynamics in zero-sum games and its invariant measures
Maximilian Engel, Georgios Piliouras
We study the behavior of a stochastic variant of replicator dynamics in two-agent zero-sum games. We characterize the statistics of such systems by their invariant measures which c…