کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4500827 | 1624038 | 2008 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Coarse analysis of collective motion with different communication mechanisms Coarse analysis of collective motion with different communication mechanisms](/preview/png/4500827.png)
We study the effects of a signalling constraint on an individual-based model of self-organizing group formation using a coarse analysis framework. This involves using an automated data-driven technique which defines a diffusion process on the graph of a sample dataset formed from a representative stationary simulation. The eigenvectors of the graph Laplacian are used to construct ‘diffusion-map’ coordinates which provide a geometrically meaningful low-dimensional representation of the dataset. We show that, for the parameter regime studied, the second principal eigenvector provides a sufficient representation of the dataset and use it as a coarse observable. This allows the computation of coarse bifurcation diagrams, which are used to compare the effects of the signalling constraint on the population-level behavior of the model.
Journal: Mathematical Biosciences - Volume 214, Issues 1–2, July–August 2008, Pages 49–57