Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2012-03-29
Proceedings of the Sixth International Workshop on Self-Organizing Systems (IWSOS 2012), pp. 90-95, Springer-Verlag (2012)
Nonlinear Sciences
Adaptation and Self-Organizing Systems
6 pages
Scientific paper
Quantity of organization in complex networks here is measured as the inverse of the average sum of physical actions of all elements per unit motion multiplied by the Planck's constant. The meaning of quantity of organization is the inverse of the number of quanta of action per one unit motion of an element. This definition can be applied to the organization of any complex system. Systems self-organize to decrease the average action per element per unit motion. This lowest action state is the attractor for the continuous self-organization and evolution of a dynamical complex system. Constraints increase this average action and constraint minimization by the elements is a basic mechanism for action minimization. Increase of quantity of elements in a network, leads to faster constraint minimization through grouping, decrease of average action per element and motion and therefore accelerated rate of self-organization. Progressive development, as self-organization, is a process of minimization of action.
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