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ROBUSTNESS OF MULTI-CLUSTER FLOCKING AND UNIFORM-IN-TIME TRANSITION FOR THE DISCRETE MOTSCH-TADMOR MODEL
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DOI：10.3934/cpaa.2026056.png)
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Abstract
En 中文
. We study the robustness and uniform-in-time transition for multicluster flocking phenomena of the discrete Motsch-Tadmor (DMT) model. The DMT model corresponds to the discrete Cucker-Smale (DCS) model with a normalized communication weight. For an m-cluster DMT model, we propose a sufficient framework on the robustness of multi-cluster flocking and uniform-intime transition to the corresponding continuous Motsch-Tadmor (MT) model as the time step tends to zero. We also provide several numerical simulations and compare them with analytical results.
Keywords:
flocking
multi-clustering
Motsch-Tadmor model
Cucker-Smale model
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C
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0.9
Papers:
88
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0
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