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

  • Emiliano Cristiani
  • Benedetto Piccoli
  • Andrea Tosin
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


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.


Animal Group Globular Cluster Group Mate Behavioral Rule Topological Interaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Emiliano Cristiani
    • 1
    • 2
  • Benedetto Piccoli
    • 2
  • Andrea Tosin
    • 3
  1. 1.CEMSACUniversità degli Studi di SalernoFiscianoItaly
  2. 2.IAC-CNRRomeItaly
  3. 3.Department of MathematicsPolitecnico di TorinoTurinItaly

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