Mathematical Modeling of Condensing on Metric Spaces

Authors

  • Mostafa Zahri Department of Mathematics, Taibah University, KSA

Keywords:

Self-organizing groups, population dynamics, collective intelligence,

Abstract

Abstract. This work aims to present an energy based model of the collective dynamics where local interactions between particles of a collection causes all particles to reorganize in new positions. The self-organizing phenomenon involved by singular local moves of individual particles leads to condensing. This model is analyzed on metric spaces, simulated on a ¯nite and in a continuous Euclidean subsets.

Author Biography

  • Mostafa Zahri, Department of Mathematics, Taibah University, KSA
    Department of Mathematics

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Published

2013-05-02

Issue

Vol. 6 No. 2: (April 2013)

Section

Mathematical Modeling and Numerical Analysis

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How to Cite

Mathematical Modeling of Condensing on Metric Spaces. (2013). European Journal of Pure and Applied Mathematics, 6(2), 172-188. https://www.ejpam.com/index.php/ejpam/article/view/1354