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math.DS2025
Generic balanced synchrony patterns in network dynamics
Romain Joly, Maxime Percie du Sert
A coupled cell network is a type of ordinary differential equation , with structural constraints on the vector field , encoded in a directed graph, whose cell…
math.OC2025
The Graph Geometric Control Condition
Kaïs Ammari, Alessandro Duca, Romain Joly +1
In this paper, we introduce a novel concept called the Graph Geometric Control Condition (GGCC). It turns out to be a simple, geometric rewriting of many of the frameworks in which…