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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