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Center for Nonlinear Studies |
We develop a general quantitative theory for the growth of transients in large arrays of linear oscillators in $\R$ with decentralized nearest neighbor interaction. It turns out that in the best possible case transients grow proportional to the number of agents. The proportionality constant is related to the signal velocity in a related system where it can be determined exactly. The numerics give excellent agreement with the theory. We apply the theory to various situations from the literature.
Host: Pieter Swart