Nonlinear Phenomena in Complex Systems
Laplacian dynamics, Topology, Lapalcian matrices
We analyze the asymptotic behavior of general first order Laplacian processes on digraphs. The most important ones of these are diffusion and consensus with both continuous and discrete time. We treat diffusion and consensus as dual processes. This is the first complete exposition of this material in a single work.
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Veerman, J. J. P., & Lyons, R. (2020). A primer on Laplacian dynamics in directed graphs. Nonlinear Phenomena in Complex Systems, vol. 23, no. 2 (2020), pp. 196 - 206