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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.DS2024
Higher order interactions lead to "reluctant" synchrony breaking
Sören von der Gracht, Eddie Nijholt, Bob Rink
To model dynamical systems on networks with higher order (non-pairwise) interactions, we recently introduced a new class of ODEs on hypernetworks. Here we consider one-parameter sy…