Computing Slow Manifolds of Saddle Type. - John Guckenheimer; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2009)

From First Lyapunov Coefficients to Maximal Canards. - Christian Kuehn 001 (Int. J. Bifurc. Chaos, 2010)

Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. - John Guckenheimer; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2010)

Mixed-Mode Oscillations with Multiple Time Scales. - Mathieu Desroches; John Guckenheimer; Bernd Krauskopf; Christian Kuehn 001; Hinke M. Osinga; Martin Wechselberger (SIAM Rev., 2012)

Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids. - Christian Kuehn 001 (SIAM J. Sci. Comput., 2012)

A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications. - Christian Kuehn 001 (J. Nonlinear Sci., 2013)

Critical transitions in social network activity. - Christian Kuehn 001; Erik A. Martens; Daniel M. Romero (J. Complex Networks, 2014)

Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. - Christian Kuehn 001 (Appl. Math. Comput., 2015)

Early-warning signs for pattern-formation in stochastic partial differential equations. - Karna Gowda; Christian Kuehn 001 (Commun. Nonlinear Sci. Numer. Simul., 2015)

The curse of instability. - Christian Kuehn 001 (Complex., 2015)

Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations. - Christian Kuehn 001; Peter Szmolyan (J. Nonlinear Sci., 2015)

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation. - Christian Kuehn 001 (SIAM/ASA J. Uncertain. Quantification, 2015)

Critical Slowing Down Governs the Transition to Neuron Spiking. - Christian Meisel; Andreas Klaus; Christian Kuehn 001; Dietmar Plenz (PLoS Comput. Biol., 2015)

Continuation of probability density functions using a generalized Lyapunov approach. - Sven Baars; Jan Viebahn; Thomas E. Mulder; Christian Kuehn 001; Fred W. Wubs; Henk A. Dijkstra (J. Comput. Phys., 2017)

Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term. - Francesco Romano; Christian Kuehn 001 (Int. J. Bifurc. Chaos, 2018)

Power Network Dynamics on Graphons. - Christian Kuehn 001; Sebastian Throm (SIAM J. Appl. Math., 2019)

Combined error estimates for local fluctuations of SPDEs. - Christian Kuehn 001; Patrick Kürschner (Adv. Comput. Math., 2020)

On Fast-Slow Consensus Networks with a Dynamic Weight. - Hildeberto Jardón-Kojakhmetov; Christian Kuehn 001 (J. Nonlinear Sci., 2020)

Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos. - Maxime Breden; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2020)

Metastable speeds in the fractional Allen-Cahn equation. - Franz Achleitner; Christian Kuehn 001; Jens Markus Melenk; Alexander Rieder (Appl. Math. Comput., 2021)

Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. - Noémie Ehstand; Christian Kuehn 001; Cinzia Soresina (Commun. Nonlinear Sci. Numer. Simul., 2021)

Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws. - Christian Kuehn 001; Kerstin Lux; Alexandra Neamtu (CoRR, 2021)

Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations. - Christian Kuehn 001; Kerstin Lux (SIAM J. Appl. Dyn. Syst., 2021)

Rough Center Manifolds. - Alexandra Neamtu; Christian Kuehn 001 (SIAM J. Math. Anal., 2021)

Single-spike solutions to the 1D shadow Gierer-Meinhardt problem. - Annalisa Iuorio; Christian Kuehn 001 (Appl. Math. Lett., 2022)

Random walks and Laplacians on hypergraphs: When do they match? - Raffaella Mulas; Christian Kuehn 001; Tobias Böhle; Jürgen Jost (Discret. Appl. Math., 2022)

On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. - Tobias Böhle; Christian Kuehn 001; Mechthild Thalhammer (Int. J. Comput. Math., 2022)

Community integration algorithms (CIAs) for dynamical systems on networks. - Tobias Böhle; Mechthild Thalhammer; Christian Kuehn 001 (J. Comput. Phys., 2022)

Discretized Fast-Slow Systems with Canards in Two Dimensions. - Maximilian Engel; Christian Kuehn 001; Matteo Petrera; Yuri B. Suris (J. Nonlinear Sci., 2022)

Graphop Mean-Field Limits for Kuramoto-Type Models. - Marios Antonios Gkogkas; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2022)

Embedding Capabilities of Neural ODEs. - Christian Kuehn 001; Sara-Viola Kuntz (CoRR, 2023)

Fractional Dissipative PDEs. - Franz Achleitner; Goro Akagi; Christian Kuehn 001; Jens Markus Melenk; Jens D. M. Rademacher; Cinzia Soresina; Jichen Yang (CoRR, 2023)

Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations. - Christian Bick; Tobias Böhle; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2023)

Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions. - Christian Kuehn 001; Sara-Viola Kuntz (CoRR, 2024)

Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities. - Maximilian Engel; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2024)

Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling. - Hildeberto Jardón-Kojakhmetov; Christian Kuehn 001; Iacopo P. Longo (SIAM J. Appl. Dyn. Syst., 2024)

Cross-diffusion induced instability on networks. - Christian Kuehn 001; Cinzia Soresina (J. Complex Networks, 2024)

Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems. - Samuel Jelbart; Christian Kuehn 001; Sara-Viola Kuntz (J. Nonlinear Sci., 2024)

Preserving Bifurcations through Moment Closures. - Christian Kuehn 001; Jan Mölter (SIAM J. Appl. Dyn. Syst., 2024)

Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude. - Christian Bick; Tobias Böhle; Christian Kuehn 001 (J. Nonlinear Sci., 2024)

Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori. - Zaid Ahsan; Harry Dankowicz; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2025)

Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions. - Renato Huzak; Hildeberto Jardón-Kojakhmetov; Christian Kuehn 001 (SIAM J. Appl. Dyn. Syst., 2025)

The Influence of the Memory Capacity of Neural DDEs on the Universal Approximation Property. - Christian Kuehn 001; Sara-Viola Kuntz (CoRR, 2025)

A Dynamical Systems Perspective on the Analysis of Neural Networks. - Dennis Chemnitz; Maximilian Engel; Christian Kuehn 001; Sara-Viola Kuntz (CoRR, 2025)