Christian Kuehn

Orcid: 0000-0002-7063-6173

Affiliations:
  • Technical University Munich, Department of Mathematics, Germany
  • Vienna University of Technology, Institute for Analysis and Scientific Computing, Austria (former)
  • Max Planck Institute for Physics of Complex Systems, Dresden, Germany (former)
  • Cornell University, Ithaca, NY, USA (former, PhD 2010)


According to our database1, Christian Kuehn authored at least 33 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Preserving Bifurcations through Moment Closures.
SIAM J. Appl. Dyn. Syst., March, 2024

Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems.
J. Nonlinear Sci., February, 2024

Cross-diffusion induced instability on networks.
J. Complex Networks, February, 2024

2023
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations.
SIAM J. Appl. Dyn. Syst., September, 2023

Fractional Dissipative PDEs.
CoRR, 2023

Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling.
CoRR, 2023

2022
Graphop Mean-Field Limits for Kuramoto-Type Models.
SIAM J. Appl. Dyn. Syst., 2022

Community integration algorithms (CIAs) for dynamical systems on networks.
J. Comput. Phys., 2022

On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs.
Int. J. Comput. Math., 2022

Random walks and Laplacians on hypergraphs: When do they match?
Discret. Appl. Math., 2022

Single-spike solutions to the 1D shadow Gierer-Meinhardt problem.
Appl. Math. Lett., 2022

2021
Rough Center Manifolds.
SIAM J. Math. Anal., 2021

Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations.
SIAM J. Appl. Dyn. Syst., 2021

Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws.
CoRR, 2021

Numerical continuation for fractional PDEs: sharp teeth and bloated snakes.
Commun. Nonlinear Sci. Numer. Simul., 2021

Metastable speeds in the fractional Allen-Cahn equation.
Appl. Math. Comput., 2021

2020
On Fast-Slow Consensus Networks with a Dynamic Weight.
J. Nonlinear Sci., 2020

Combined error estimates for local fluctuations of SPDEs.
Adv. Comput. Math., 2020

2018
Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term.
Int. J. Bifurc. Chaos, 2018

2017
Continuation of probability density functions using a generalized Lyapunov approach.
J. Comput. Phys., 2017

2015
Critical Slowing Down Governs the Transition to Neuron Spiking.
PLoS Comput. Biol., 2015

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

Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations.
J. Nonlinear Sci., 2015

The curse of instability.
Complex., 2015

Early-warning signs for pattern-formation in stochastic partial differential equations.
Commun. Nonlinear Sci. Numer. Simul., 2015

Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs.
Appl. Math. Comput., 2015

2014
Critical transitions in social network activity.
J. Complex Networks, 2014

2013
A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications.
J. Nonlinear Sci., 2013

2012
Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids.
SIAM J. Sci. Comput., 2012

Mixed-Mode Oscillations with Multiple Time Scales.
SIAM Rev., 2012

2010
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System.
SIAM J. Appl. Dyn. Syst., 2010

From First Lyapunov Coefficients to Maximal Canards.
Int. J. Bifurc. Chaos, 2010

2009
Computing Slow Manifolds of Saddle Type.
SIAM J. Appl. Dyn. Syst., 2009


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