422 citations · 2.4k across the 156 of their papers we have counts for
4 papers · 2 filters
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…
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…
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 (…
Ergodicity in planar slow-fast systems through slow relation functions
Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
In this paper, we study ergodic properties of the slow relation function (or entry-exit function) in planar slow-fast systems. It is well known that zeros of the slow divergence in…