422 citations · 2.4k across the 156 of their papers we have counts for
21 papers · 1 filter
Multi-Population Phase Oscillator Networks with Higher-Order Interactions
Christian Bick, Tobias Böhle, Christian Kuehn
The classical Kuramoto model consists of finitely many pairwise coupled oscillators on the circle. In many applications a simple pairwise coupling is not sufficient to describe rea…
Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo
Maria Elena Gonzalez Herrero, Christian Kuehn, Krasimira Tsaneva-Atanasova
Since Noble adapted in 1962 the model of Hodgkin and Huxley to fit Purkinje fibres the refinement of models for cardiomyocytes has continued. Most of these models are high-dimensio…
Continuation of Probability Density Functions using a Generalized Lyapunov Approach
S. Baars, J. P. Viebahn, T. E. Mulder +3
Techniques from numerical bifurcation theory are very useful to study transitions between steady fluid flow patterns and the instabilities involved. Here, we provide computational…
A geometric analysis of the SIRS epidemiological model on a homogeneous network
Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Andrea Pugliese +1
We study a fast-slow version of an SIRS epidemiological model on homogeneous graphs, obtained through the application of the moment closure method. We use GSPT to study the model,…
Estimating rate-induced tipping via asymptotic series and a Melnikov-like method
Christian Kuehn, Iacopo P. Longo
The paper deals with the study of rate-induced tipping in asymptotically autonomous scalar ordinary differential equations. We prove that, in such a tipping scenario, a solution wh…
Balancing quarantine and self-distancing measures in adaptive epidemic networks
Leonhard Horstmeyer, Christian Kuehn, Stefan Thurner
We study the relative importance of two key control measures for epidemic spreading: endogenous social self-distancing and exogenous imposed quarantine. We use the framework of ada…