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b x,, • ~ X B (1)

, =b-x nQ-x n)

Figure 2: the Verhulst equation

CONCLUSION

A decision maker who manages production process confronts with pouncing disturbance. He must
achieve a dynamic equilibrium upon the sweeping waves of both internally and externally oriented
disturbance to hold the goal of the whole inviolable at every phase of production, which requires a
series of decision making to amend his course of action upon disturbance. However, a decision making
itself can be a source of considerable disturbance or, even more than often, it is the primary source,
where the opposite alternatives are acting potential for most of decision making. This characteristic
state of potential, that is "though neither yet in existence, both opposites are equally capable of being,
and contending toward existence" must be properly modeled to understand the mechanism how the
real acting potential of opposites undeniably observable in day-to-day human activities, acts on the
outcome of choice, and its consequence. The dynamic togetherness of two reciprocal wholes is the
primary cause of interference among opposites which produce a complex behavior. The Verhulst
equation exemplifies one of the simplest kinds which possibly describe complexity due to interaction
between the domains of potentials and of events.
REFERENCES

Feigenbaum M. (1978). Quantitative Universality for a Class of Nonlinear Transformations, J. Statistical Phys.
19:25
Kauffman S. (1993). The Origins of Order- Self organization and Selection in Evolution, Oxford University
Press, Oxford, ISBN: 0-19-505811-9
Prigogine I. (1980). From Being to Becoming- Time and Complexity in the Physical Sciences, W.H. Freeman
and Company, New York, ISBN: 0-7167-1108-7
Russell B. and Whitehead A, N. (1910). Principia Mathematica, Cambridge University Press, Cambridge, UK
Russell B. (1945) History of Western Philosophy, Routledge, Oxford, ISBN: 0415325056
Verhulst P, F. (1845) Recherches mathematiques sur la loi d'accroissement de la population, Nouv. mem. De
VAcademie Royale des Sci. et Belles-Lettres de Bruxelles 18, 1-41

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