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math.DS2019
Invariant synchrony subspaces of sets of matrices
John M. Neuberger, Nandor Sieben, James W. Swift
A synchrony subspace of R^n is defined by setting certain components of the vectors equal according to an equivalence relation. Synchrony subspaces invariant under a given set of s…
math.DS2018
Synchrony and Anti-Synchrony for Difference-Coupled Vector Fields on Graph Network Systems
John M. Neuberger, Nándor Sieben, James W. Swift
We define a graph network to be a coupled cell network where there are only one type of cell and one type of symmetric coupling between the cells. For a difference-coupled vector f…