2 papers
math.OC2021
Linear Nearest Neighbor Flocks with All Distinct Agents
R. Lyons, J. J. P. Veerman
This paper analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODEs with constant coe…
math.DS2020
A Primer on Laplacian Dynamics in Directed Graphs
J. J. P. Veerman, Robert Lyons
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 dis…