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math.DS2020★ 12 cited
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…
math.DS2020★ 11 cited
Non-linear network dynamics with consensus-dissensus bifurcation
Karel Devriendt, Renaud Lambiotte
We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of s…