422 citations · 2.4k across the 156 of their papers we have counts for
10 papers · 1 filter
Networks of Pendula with Diffusive Interactions
Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
We study a system of coupled pendula with diffusive interactions, which could depend both on positions and on momenta. The coupling structure is defined by an undirected network, w…
Resilience of the Atlantic Meridional Overturning Circulation
Valérian Jacques-Dumas, Henk A. Dijkstra, Christian Kuehn
We address the issue of resilience of the Atlantic Meridional Overturning Circulation (AMOC) given the many indications that this dynamical system is in a multi-stable regime. A no…
Warning Signs for Boundary Noise and their Application to an Ocean Boussinesq Model
Paolo Bernuzzi, Henk A. Dijkstra, Christian Kuehn
In this paper, we construct and discuss early-warning signs of the approach of a parameter to a deterministic bifurcation on a stochastic partial differential equation (SPDE) model…
Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions
Christian Kuehn, Sara-Viola Kuntz
Besides classical feed-forward neural networks such as multilayer perceptrons, also neural ordinary differential equations (neural ODEs) have gained particular interest in recent y…
Infinite dimensional Slow Manifolds for a Linear Fast-Reaction System
Christian Kuehn, Pascal Lehner, Jan-Eric Sulzbach
The aim of this expository paper is twofold. We start with a concise overview of the theory of invariant slow manifolds for fast-slow dynamical systems starting with the work by Ti…
Adjoint-Based Projections for Uncertainty Quantification near Stochastically Perturbed Limit Cycles and Tori
Zaid Ahsan, Harry Dankowicz, Christian Kuehn
This paper presents a new boundary-value problem formulation for quantifying uncertainty induced by the presence of small Brownian noise near transversally stable periodic orbits (…