A trajectory analysis of near aggregation

The basic idea of aggregation is that there exists a reduced-order model such that, for an appropriate initial condition, the trajectories of the reduced-order model are linear combinations of the trajectories of the full-order model. The authors study systems which do not aggregate exactly, but which 'nearly aggregate'. It is shown that for nearly aggregable systems, there exists a reduced-order model such that, for an appropriate initial condition, the trajectories of the reduced-order model are near a linear combination of the trajectories of the full-order model.<
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