Christian Kuehn

52 papers Journal 52

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Analysis of the geometric structure of neural networks and neural ODEs via morse functions. Adv. Comput. Math. Christian Kuehn, Sara-Viola Kuntz
2025	J	`jnl`	A Dynamical Systems Perspective on the Analysis of Neural Networks. CoRR Dennis Chemnitz, Maximilian Engel, Christian Kuehn, Sara-Viola Kuntz
2025	J	`jnl`	Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori. SIAM J. Appl. Dyn. Syst. Zaid Ahsan, Harry Dankowicz, Christian Kuehn
2025	J	`jnl`	Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions. SIAM J. Appl. Dyn. Syst. Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
2025	J	`jnl`	The Influence of the Memory Capacity of Neural DDEs on the Universal Approximation Property. CoRR Christian Kuehn, Sara-Viola Kuntz
2024	J	`jnl`	Analysis of the Geometric Structure of Neural Networks and Neural ODEs via Morse Functions. CoRR Christian Kuehn, Sara-Viola Kuntz
2024	J	`jnl`	Cross-diffusion induced instability on networks. J. Complex Networks Christian Kuehn, Cinzia Soresina
2024	J	`jnl`	Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities. SIAM J. Appl. Dyn. Syst. Maximilian Engel, Christian Kuehn
2024	J	`jnl`	Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems. J. Nonlinear Sci. Samuel Jelbart, Christian Kuehn, Sara-Viola Kuntz
2024	J	`jnl`	Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude. J. Nonlinear Sci. Christian Bick, Tobias Böhle, Christian Kuehn
2024	J	`jnl`	Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling. SIAM J. Appl. Dyn. Syst. Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo
2024	J	`jnl`	Preserving Bifurcations through Moment Closures. SIAM J. Appl. Dyn. Syst. Christian Kuehn, Jan Mölter
2023	J	`jnl`	Embedding Capabilities of Neural ODEs. CoRR Christian Kuehn, Sara-Viola Kuntz
2023	J	`jnl`	Fractional Dissipative PDEs. CoRR Franz Achleitner, Goro Akagi, Christian Kuehn, Jens Markus Melenk, Jens D. M. Rademacher, Cinzia Soresina, Jichen Yang
2023	J	`jnl`	Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling. CoRR Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo
2023	J	`jnl`	Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations. SIAM J. Appl. Dyn. Syst. Christian Bick, Tobias Böhle, Christian Kuehn
2022	J	`jnl`	Community Integration Algorithms (CIAs) for Dynamical Systems on Networks. CoRR Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
2022	J	`jnl`	Community integration algorithms (CIAs) for dynamical systems on networks. J. Comput. Phys. Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
2022	J	`jnl`	Discretized Fast-Slow Systems with Canards in Two Dimensions. J. Nonlinear Sci. Maximilian Engel, Christian Kuehn, Matteo Petrera, Yuri B. Suris
2022	J	`jnl`	Graphop Mean-Field Limits for Kuramoto-Type Models. SIAM J. Appl. Dyn. Syst. Marios Antonios Gkogkas, Christian Kuehn
2022	J	`jnl`	On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. Int. J. Comput. Math. Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
2022	J	`jnl`	Random walks and Laplacians on hypergraphs: When do they match? Discret. Appl. Math. Raffaella Mulas, Christian Kuehn, Tobias Böhle, Jürgen Jost
2022	J	`jnl`	Single-spike solutions to the 1D shadow Gierer-Meinhardt problem. Appl. Math. Lett. Annalisa Iuorio, Christian Kuehn
2021	J	`jnl`	Metastable speeds in the fractional Allen-Cahn equation. Appl. Math. Comput. Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder
2021	J	`jnl`	Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Commun. Nonlinear Sci. Numer. Simul. Noémie Ehstand, Christian Kuehn, Cinzia Soresina
2021	J	`jnl`	On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. CoRR Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
2021	J	`jnl`	Rough Center Manifolds. SIAM J. Math. Anal. Alexandra Neamtu, Christian Kuehn
2021	J	`jnl`	Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations. CoRR Kerstin Lux, Christian Kuehn
2021	J	`jnl`	Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations. SIAM J. Appl. Dyn. Syst. Christian Kuehn, Kerstin Lux
2021	J	`jnl`	Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws. CoRR Christian Kuehn, Kerstin Lux, Alexandra Neamtu
2020	J	`jnl`	Combined error estimates for local fluctuations of SPDEs. Adv. Comput. Math. Christian Kuehn, Patrick Kürschner
2020	J	`jnl`	Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos. SIAM J. Appl. Dyn. Syst. Maxime Breden, Christian Kuehn
2020	J	`jnl`	Continuation of Probability Density Functions using a Generalized Lyapunov Approach. CoRR Sven Baars, Jan Viebahn, Thomas E. Mulder, Christian Kuehn, Fred W. Wubs, Henk A. Dijkstra
2020	J	`jnl`	Metastable Speeds in the Fractional Allen-Cahn Equation. CoRR Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder
2020	J	`jnl`	On Fast-Slow Consensus Networks with a Dynamic Weight. J. Nonlinear Sci. Hildeberto Jardón-Kojakhmetov, Christian Kuehn
2019	J	`jnl`	Power Network Dynamics on Graphons. SIAM J. Appl. Math. Christian Kuehn, Sebastian Throm
2018	J	`jnl`	Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term. Int. J. Bifurc. Chaos Francesco Romano, Christian Kuehn
2017	J	`jnl`	Continuation of probability density functions using a generalized Lyapunov approach. J. Comput. Phys. Sven Baars, Jan Viebahn, Thomas E. Mulder, Christian Kuehn, Fred W. Wubs, Henk A. Dijkstra
2015	J	`jnl`	Critical Slowing Down Governs the Transition to Neuron Spiking. PLoS Comput. Biol. Christian Meisel, Andreas Klaus, Christian Kuehn, Dietmar Plenz
2015	J	`jnl`	Early-warning signs for pattern-formation in stochastic partial differential equations. Commun. Nonlinear Sci. Numer. Simul. Karna Gowda, Christian Kuehn
2015	J	`jnl`	Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. Appl. Math. Comput. Christian Kuehn
2015	J	`jnl`	Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations. J. Nonlinear Sci. Christian Kuehn, Peter Szmolyan
2015	J	`jnl`	Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation. SIAM/ASA J. Uncertain. Quantification Christian Kuehn
2015	J	`jnl`	The curse of instability. Complex. Christian Kuehn
2014	J	`jnl`	Critical transitions in social network activity. J. Complex Networks Christian Kuehn, Erik A. Martens, Daniel M. Romero
2013	J	`jnl`	A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications. J. Nonlinear Sci. Christian Kuehn
2013	J	`jnl`	Critical Transitions in Social Network Activity. CoRR Christian Kuehn, Erik A. Martens, Daniel M. Romero
2012	J	`jnl`	Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids. SIAM J. Sci. Comput. Christian Kuehn
2012	J	`jnl`	Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
2010	J	`jnl`	From First Lyapunov Coefficients to Maximal Canards. Int. J. Bifurc. Chaos Christian Kuehn
2010	J	`jnl`	Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System. SIAM J. Appl. Dyn. Syst. John Guckenheimer, Christian Kuehn
2009	J	`jnl`	Computing Slow Manifolds of Saddle Type. SIAM J. Appl. Dyn. Syst. John Guckenheimer, Christian Kuehn