6 papers
Tracking Finite-Time Lyapunov Exponents to Robustify Neural ODEs
Tobias Wöhrer, Christian Kuehn
We investigate finite-time Lyapunov exponents (FTLEs), a measure for exponential separation of input perturbations, of deep neural networks within the framework of continuous-depth…
Spectral theory of dense hypergraph limits
Ágnes Backhausz, Christian Kuehn, Sjoerd van der Niet +1
In this work, we develop a spectral theory for hypergraph limits. We prove the convergence of the spectra of adjacency and Laplacian matrices for hypergraph sequences converging in…
Local asymptotics for the nonlocal Swift-Hohenberg equation
Elisa Davoli, Christian Kuehn, Luca Scarpa +1
The nonlocal-to-local asymptotics investigation for evolutionary problems is a central topic both in the theory of PDEs and in functional analysis. More recently, it became the mai…
Computing Resilience Measures in Dynamical Systems
Andreas Morr, Christian Kuehn, George Datseris
Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metr…
Chaotic Kramers' Law: Hasselmann's Program and AMOC Tipping
Jakob Deser, Raphael Römer, Niklas Boers +1
In bistable dynamical systems driven by Wiener processes, the widely used Kramers' law relates the strength of the noise forcing to the average time it takes to see a noise-induced…
On the transition between autonomous and nonautonomous systems: the case of FitzHugh-Nagumo's model
Iacopo P. Longo, Elena Queirolo, Christian Kuehn
This work deals with a parametric linear interpolation between an autonomous FitzHugh-Nagumo model and a nonautonomous skewed-problem with the same fundamental structure. This para…