422 citations · 2.4k across the 156 of their papers we have counts for
6 papers · 2 filters
Continuum Limits for Adaptive Network Dynamics
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Adaptive (or co-evolutionary) network dynamics, i.e., when changes of the network/graph topology are coupled with changes in the node/vertex dynamics, can give rise to rich and com…
Warning signs for non-Markovian bifurcations: colour blindness and scaling laws
Christian Kuehn, Kerstin Lux, Alexandra Neamtu
Warning signs for tipping points (or critical transitions) have been very actively studied. Although the theory has been applied successfully in models and in experiments for many…
A General View on Double Limits in Differential Equations
Christian Kuehn, Nils Berglund, Christian Bick +4
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to…
Resilience of dynamical systems
Hana Krakovská, Christian Kühn, Iacopo P. Longo
Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining how "globally stable" a nonlinear system is very challengi…
Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions
Maximilian Engel, Felix Hummel, Christian Kuehn
In this paper, we study slow manifolds for infinite-dimensional evolution equations. We compare two approaches: an abstract evolution equation framework and a finite-dimensional sp…
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations
Christian Kuehn, Kerstin Lux
We are concerned with random ordinary differential equations (RODEs). Our main question of interest is how uncertainties in system parameters propagate through the possibly highly…