3 papers
math.DS2026
Design of Hierarchical Excitable Networks
Sören von der Gracht, Alexander Lohse
We provide a method to systematically construct vector fields for which the dynamics display transitions corresponding to a desired hierarchical connection structure. This structur…
cs.RO2025
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
Raphael Gerlach, Sören von der Gracht
In this article, we investigate symmetry properties of distributed systems of mobile robots. We consider a swarm of robots in the model and analy…
cs.RO2024
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
Raphael Gerlach, Sören von der Gracht, Christopher Hahn +2
In the general pattern formation (GPF) problem, a swarm of simple autonomous, disoriented robots must form a given pattern. The robots' simplicity imply a strong limitation: When t…