IJPAM: Volume 86, No. 4 (2013)

GRADIENT FORM OF THE ENERGY OF
COLLECTIVE INTELLIGENCE

Mostafa Zahri1, Naji Khalaf2
1,2Department of Mathematics
College of Science
Taibah University
P.O. Box 30002, Madinah, KINGDOM OF SAUDI ARABIA


Abstract. Considering an energy-based self-organizing group [#!Zahri!#], we extend in this paper the given discrete model to a gradient one. Where the gradient system characterize the collective intelligence of a continuous mass and we present some related results. Moreover, the theoretical and computational analysis of the presented gradient model provide interesting open Framework.

Received: January 30, 2013

AMS Subject Classification: 92D50, 92D25, 91D30

Key Words and Phrases: energy of collective intelligence, self-organizing agents, emergence, metric space, gradient of energy

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DOI: 10.12732/ijpam.v86i4.4 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 4