Christian Kuehn

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 24

Top Topics

Differential Equations

Dynamical Systems

Density Function

Top Venues

J. Nonlinear Sci.

SIAM J. Appl. Dyn. Syst.

J. Complex Networks

Publications

Christian Kuehn, Jan Mölter
Preserving Bifurcations through Moment Closures. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Christian Kuehn, Cinzia Soresina
Cross-diffusion induced instability on networks. J. Complex Networks 12 (2) (2024)
Christian Kuehn, Sara-Viola Kuntz
Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions. CoRR (2024)
Christian Bick, Tobias Böhle, Christian Kuehn
Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude. J. Nonlinear Sci. 34 (4) (2024)
Samuel Jelbart, Christian Kuehn, Sara-Viola Kuntz
Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems. J. Nonlinear Sci. 34 (1) (2024)
Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo
Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling. CoRR (2023)
Christian Bick, Tobias Böhle, Christian Kuehn
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations. SIAM J. Appl. Dyn. Syst. 22 (3) (2023)
Franz Achleitner, Goro Akagi, Christian Kuehn, Jens Markus Melenk, Jens D. M. Rademacher, Cinzia Soresina, Jichen Yang
Fractional Dissipative PDEs. CoRR (2023)
Marios Antonios Gkogkas, Christian Kuehn
Graphop Mean-Field Limits for Kuramoto-Type Models. SIAM J. Appl. Dyn. Syst. 21 (1) (2022)
Raffaella Mulas, Christian Kuehn, Tobias Böhle, Jürgen Jost
Random walks and Laplacians on hypergraphs: When do they match? Discret. Appl. Math. 317 (2022)
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
Community integration algorithms (CIAs) for dynamical systems on networks. J. Comput. Phys. 469 (2022)
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. Int. J. Comput. Math. 99 (1) (2022)
Annalisa Iuorio, Christian Kuehn
Single-spike solutions to the 1D shadow Gierer-Meinhardt problem. Appl. Math. Lett. 132 (2022)
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
Community Integration Algorithms (CIAs) for Dynamical Systems on Networks. CoRR (2022)
Kerstin Lux, Christian Kuehn
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations. CoRR (2021)
Alexandra Neamtu, Christian Kuehn
Rough Center Manifolds. SIAM J. Math. Anal. 53 (4) (2021)
Christian Kuehn, Kerstin Lux
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations. SIAM J. Appl. Dyn. Syst. 20 (4) (2021)
Noémie Ehstand, Christian Kuehn, Cinzia Soresina
Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Commun. Nonlinear Sci. Numer. Simul. 98 (2021)
Christian Kuehn, Kerstin Lux, Alexandra Neamtu
Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws. CoRR (2021)
Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder
Metastable speeds in the fractional Allen-Cahn equation. Appl. Math. Comput. 408 (2021)
Hildeberto Jardón-Kojakhmetov, Christian Kuehn
On Fast-Slow Consensus Networks with a Dynamic Weight. J. Nonlinear Sci. 30 (6) (2020)
Christian Kuehn, Patrick Kürschner
Combined error estimates for local fluctuations of SPDEs. Adv. Comput. Math. 46 (1) (2020)
Francesco Romano, Christian Kuehn
Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term. Int. J. Bifurc. Chaos 28 (8) (2018)
Sven Baars, Jan Viebahn, Thomas E. Mulder, Christian Kuehn, Fred W. Wubs, Henk A. Dijkstra
Continuation of probability density functions using a generalized Lyapunov approach. J. Comput. Phys. 336 (2017)
Karna Gowda, Christian Kuehn
Early-warning signs for pattern-formation in stochastic partial differential equations. Commun. Nonlinear Sci. Numer. Simul. 22 (Issues) (2015)
Christian Kuehn
The curse of instability. Complex. 20 (6) (2015)
Christian Kuehn
Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. Appl. Math. Comput. 266 (2015)
Christian Meisel, Andreas Klaus, Christian Kuehn, Dietmar Plenz
Critical Slowing Down Governs the Transition to Neuron Spiking. PLoS Comput. Biol. 11 (2) (2015)
Christian Kuehn, Peter Szmolyan
Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations. J. Nonlinear Sci. 25 (3) (2015)
Christian Kuehn
Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
Christian Kuehn, Erik A. Martens, Daniel M. Romero
Critical transitions in social network activity. J. Complex Networks 2 (2) (2014)
Christian Kuehn
A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications. J. Nonlinear Sci. 23 (3) (2013)
Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54 (2) (2012)
Christian Kuehn
Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids. SIAM J. Sci. Comput. 34 (3) (2012)
John Guckenheimer, Christian Kuehn
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. SIAM J. Appl. Dyn. Syst. 9 (1) (2010)
Christian Kuehn
From First Lyapunov Coefficients to Maximal Canards. Int. J. Bifurc. Chaos 20 (5) (2010)
John Guckenheimer, Christian Kuehn
Computing Slow Manifolds of Saddle Type. SIAM J. Appl. Dyn. Syst. 8 (3) (2009)