8 citations · 10 across the 3 of their papers we have counts for
3 papers
math.SP2018
On graph Laplacian eigenvectors with components in {-1,0,1}
J-G. Caputo, I. Khames, A. Knippel
We characterize all graphs for which there are eigenvectors of the graph Laplacian having all their components in {-1,+1} or {-1,0,+ 1}. Graphs having eigenvectors with components…
nlin.PS2018★ 2 cited
Localized solutions of nonlinear network wave equations
J. G. Caputo, I. Khames, A. Knippel +1
We study localized solutions for the nonlinear graph wave equation on finite arbitrary networks. Assuming a large amplitude localized initial condition on one node of the graph, we…
nlin.PS2017★ 8 cited
Periodic orbits in nonlinear wave equations on networks
Jean-Guy Caputo, Imene Khames, Arnaud Knippel +1
We consider a cubic nonlinear wave equation on a network and show that inspecting the normal modes of the graph, we can immediately identify which ones extend into nonlinear period…