3 papers
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…
nlin.PS2013
Newton's Method and Symmetry for Semilinear Elliptic PDE on the Cube
John M. Neuberger, Nandor Sieben, James W. Swift
We seek discrete approximations to solutions of semilinear elliptic partial differential equations of the form , where is a one-parameter family o…