Christian Kuehn

According to our database, Christian Kuehn authored at least 41 papers between 2009 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions.

Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2025

2024

Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude.

Christian Bick, Tobias Böhle, Christian Kuehn

J. Nonlinear Sci., August, 2024

Preserving Bifurcations through Moment Closures.

Christian Kuehn, Jan Mölter

SIAM J. Appl. Dyn. Syst., March, 2024

Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems.

Samuel Jelbart, Christian Kuehn, Sara-Viola Kuntz

J. Nonlinear Sci., February, 2024

Cross-diffusion induced instability on networks.

Christian Kuehn, Cinzia Soresina

J. Complex Networks, February, 2024

Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities.

Maximilian Engel, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2024

Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions.

Christian Kuehn, Sara-Viola Kuntz

CoRR, 2024

2023

Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations.

Christian Bick, Tobias Böhle, Christian Kuehn

SIAM J. Appl. Dyn. Syst., September, 2023

Fractional Dissipative PDEs.

Franz Achleitner, Goro Akagi, Christian Kuehn, Jens Markus Melenk, Jens D. M. Rademacher, Cinzia Soresina, Jichen Yang

CoRR, 2023

Embedding Capabilities of Neural ODEs.

Christian Kuehn, Sara-Viola Kuntz

CoRR, 2023

Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling.

Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo

CoRR, 2023

2022

Graphop Mean-Field Limits for Kuramoto-Type Models.

Marios Antonios Gkogkas, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2022

Discretized Fast-Slow Systems with Canards in Two Dimensions.

Maximilian Engel, Christian Kuehn, Matteo Petrera, Yuri B. Suris

J. Nonlinear Sci., 2022

Community integration algorithms (CIAs) for dynamical systems on networks.

Tobias Böhle, Mechthild Thalhammer, Christian Kuehn

J. Comput. Phys., 2022

On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs.

Tobias Böhle, Christian Kuehn, Mechthild Thalhammer

Int. J. Comput. Math., 2022

Random walks and Laplacians on hypergraphs: When do they match?

Raffaella Mulas, Christian Kuehn, Tobias Böhle, Jürgen Jost

Discret. Appl. Math., 2022

Single-spike solutions to the 1D shadow Gierer-Meinhardt problem.

Annalisa Iuorio, Christian Kuehn

Appl. Math. Lett., 2022

2021

Rough Center Manifolds.

Alexandra Neamtu, Christian Kuehn

SIAM J. Math. Anal., 2021

Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations.

Christian Kuehn, Kerstin Lux

SIAM J. Appl. Dyn. Syst., 2021

Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws.

Christian Kuehn, Kerstin Lux, Alexandra Neamtu

CoRR, 2021

Numerical continuation for fractional PDEs: sharp teeth and bloated snakes.

Noémie Ehstand, Christian Kuehn, Cinzia Soresina

Commun. Nonlinear Sci. Numer. Simul., 2021

Metastable speeds in the fractional Allen-Cahn equation.

Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder

Appl. Math. Comput., 2021

2020

Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos.

Maxime Breden, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2020

On Fast-Slow Consensus Networks with a Dynamic Weight.

Hildeberto Jardón-Kojakhmetov, Christian Kuehn

J. Nonlinear Sci., 2020

Combined error estimates for local fluctuations of SPDEs.

Christian Kuehn, Patrick Kürschner

Adv. Comput. Math., 2020

2019

Power Network Dynamics on Graphons.

Christian Kuehn, Sebastian Throm

SIAM J. Appl. Math., 2019

2018

Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term.

Francesco Romano, Christian Kuehn

Int. J. Bifurc. Chaos, 2018

2017

Continuation of probability density functions using a generalized Lyapunov approach.

Sven Baars, Jan Viebahn, Thomas E. Mulder, Christian Kuehn, Fred W. Wubs, Henk A. Dijkstra

J. Comput. Phys., 2017

2015

Critical Slowing Down Governs the Transition to Neuron Spiking.

Christian Meisel, Andreas Klaus, Christian Kuehn, Dietmar Plenz

PLoS Comput. Biol., 2015

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation.

Christian Kuehn

SIAM/ASA J. Uncertain. Quantification, 2015

Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations.

Christian Kuehn, Peter Szmolyan

J. Nonlinear Sci., 2015

The curse of instability.

Christian Kuehn

Complex., 2015

Early-warning signs for pattern-formation in stochastic partial differential equations.

Karna Gowda, Christian Kuehn

Commun. Nonlinear Sci. Numer. Simul., 2015

Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs.

Christian Kuehn

Appl. Math. Comput., 2015

2014

Critical transitions in social network activity.

Christian Kuehn, Erik A. Martens, Daniel M. Romero

J. Complex Networks, 2014

2013

A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications.

Christian Kuehn

J. Nonlinear Sci., 2013

2012

Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids.

Christian Kuehn

SIAM J. Sci. Comput., 2012

Mixed-Mode Oscillations with Multiple Time Scales.

Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger

SIAM Rev., 2012

2010

Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System.

John Guckenheimer, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2010

From First Lyapunov Coefficients to Maximal Canards.

Christian Kuehn

Int. J. Bifurc. Chaos, 2010

2009

Computing Slow Manifolds of Saddle Type.

John Guckenheimer, Christian Kuehn

SIAM J. Appl. Dyn. Syst., 2009