12 citations · 12 across the 3 of their papers we have counts for
3 papers
Circular Directional Flow Decomposition of Networks
Marc Homs-Dones, Robert S. MacKay, Bazil Sansom +1
We introduce the Circular Directional Flow Decomposition (CDFD), a new framework for analyzing circularity in weighted directed networks. CDFD separates flow into two components: a…
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
Claude Baesens, Marc Homs-Dones, Robert S. MacKay
We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by…
Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs
Marc Homs-Dones, Karel Devriendt, Renaud Lambiotte
We study a generic family of nonlinear dynamics on undirected networks generalising linear consensus. We find a compact expression for its equilibrium points in terms of the topolo…