373 citations · 1.6k across the 34 of their papers we have counts for
6 papers · 1 filter
Bifurcations of Clusters and Collective Oscillations in Networks of Bistable Units
Munir Salman, Christian Bick, Katharina Krischer
We investigate dynamics and bifurcations in a mathematical model that captures electrochemical experiments on arrays of microelectrodes. In isolation, each individual microelectrod…
Dynamical Systems on Graph Limits and Their Symmetries
Christian Bick, Davide Sclosa
The collective dynamics of interacting dynamical units on a network crucially depends on the properties of the network structure. Rather than considering large but finite graphs to…
Dead zones and phase reduction of coupled oscillators
Peter Ashwin, Christian Bick, Camille Poignard
A dead zone in the interaction between two dynamical systems is a region of their joint phase space where one system is insensitive to the changes in the other. These can arise in…
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…
What are higher-order networks?
Christian Bick, Elizabeth Gross, Heather A. Harrington +1
Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a range of different disciplines. Arguably, this graph-based pe…
Chemical oscillators synchronized via an active oscillating medium: dynamics and phase approximation model
David García-Selfa, Gourab Ghoshal, Christian Bick +2
Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes…