33 citations · 189 across the 26 of their papers we have counts for
5 papers · 1 filter
A traveling wave bifurcation analysis of turbulent pipe flow
Maximilian Engel, Christian Kuehn, Björn de Rijk
Using various techniques from dynamical systems theory, we rigorously study an experimentally validated model by [Barkley et al., Nature, 526:550-553, 2015], which describes the ri…
On the pitchfork bifurcation for the Chafee-Infante equation with additive noise
Alex Blumenthal, Maximilian Engel, Alexandra Neamtu
We investigate pitchfork bifurcations for a stochastic reaction diffusion equation perturbed by an infinite-dimensional Wiener process. It is well-known that the random attractor i…
A General View on Double Limits in Differential Equations
Christian Kuehn, Nils Berglund, Christian Bick +4
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to…
Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions
Maximilian Engel, Felix Hummel, Christian Kuehn
In this paper, we study slow manifolds for infinite-dimensional evolution equations. We compare two approaches: an abstract evolution equation framework and a finite-dimensional sp…
Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems
Maxime Breden, Maximilian Engel
We confirm a long-standing conjecture concerning shear-induced chaos in stochastically perturbed systems exhibiting a Hopf bifurcation. The method of showing the main chaotic prope…