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Published in:
2010 | OriginalPaper | Chapter
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
Authors : Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
Published in: Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences
Publisher: Birkhäuser Boston
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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 nonlocality 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.