422 citations · 2.4k across the 156 of their papers we have counts for
172 papers
Renormalized Invariant Manifolds
Christian Kuehn, Jan-Eric Sulzbach
Invariant manifold theory for partial differential equations (PDEs) is technically challenging as we often lack spectral gaps. Motivated by recent progress using renormalization in…
On the optimal control of entry-exit phenomena in planar fast-slow dynamical systems
Jacopo Borsotti, Christian Kuehn, Mattia Sensi
We study a geometric singular perturbation theory (GSPT) approach to optimal control problems involving entry-exit phenomena in planar fast-slow dynamical systems. In contrast to p…
The Role of Bifurcations in Parameter Estimation: A UQ Analysis of the Non-spatial Klausmeier Model
Lisa Beer, Christian Kuehn, Chiara Piazzola
We employ uncertainty quantification methods to investigate how parameter identifiability changes in the vicinity of a bifurcation point. We perform numerical experiments on the no…
A dispersive extension result for a class of nonlocal nonlinearities
Bastian Hilder, Christian Kuehn
We prove that a class of nonlocal nonlinearities on periodic Sobolev spaces can be expressed as a trace of the unique mild solution to a local dispersive problem consisting of a sy…
Unstable Manifolds for the Kuramoto Model: Convergence to the Ott-Antonsen Manifold
Christian Kuehn, Giacomo Landi
In this paper, we study the finite-dimensional, homogeneous, all-to-all coupled Kuramoto model. We begin by performing a complete spectral analysis of all equilibria of the system.…
Normal Forms for Rough Differential Equations
Gideon Chiusole, Christian Kuehn, Maximilian Semenowicz
We address the existence of normal forms for rough ordinary differential equations. We assume suitable smoothness and the hyperbolicity of an equilibrium point. In this context, we…