2 papers
math.DS2026
Homogeneous coupled cell systems with high-dimensional internal dynamics
Sören von der Gracht, Eddie Nijholt, Bob Rink
The analysis of network dynamics is oftentimes restricted to networks with one-dimensional internal dynamics. Here, we show how symmetry explains the relation between behavior of s…
math.CO2024
Dimension Bounds for Systems of Equations with Graph Structure
Eddie Nijholt, Davide Sclosa
We introduce a broad class of equations that are described by a graph, which includes many well-studied systems. For these, we show that the number of solutions (or the dimension o…