IJPAM: Volume 86, No. 4 (2013)
1,2Department of Mathematics
College of Science
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