arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0906.4702math-phmath.MPnlin.AOphysics.soc-ph
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从宏观和微观角度模拟行人和动物群体的自组织

Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints

Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin

摘要:

本文主要研究智能系统的数学建模,如人类群体和动物群体。特别是,重点是不同的自组织模式的出现,从非局部性和各向异性的个人之间的相互作用。引入了一种通过时间演化测度的数学方法,在统一的建模框架内处理宏观和微观尺度。然后,自组织问题的调查和数值再现在适当的规模,根据所考虑的代理的种类。

英文摘要:

This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-organized patterns from non-locality and anisotropy of the interactions among individuals. A mathematical technique by time-evolving measures is introduced to deal with both macroscopic and microscopic scales within a unified modeling framework. Then self-organization issues are investigated and numerically reproduced at the proper scale, according to the kind of agents under consideration.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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