By Thomas J. Czerwinski

Dealing with the boundaries: Speculations on Nonlinearity in army Affairs

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Brian Arthur, member of the Santa Fe Institute (the leading Complexity theory “think tank”) and prominent nonlinear economist, believes that there is a general law: complexity tends to increase as functions and modifications are added to a system to break through limitations, handle exceptional circumstances or adapt to a world itself more complex. This applies, if you think about it, not just to technologies and biological organisms but also to legal systems, tax codes, scientific theories, even successive releases of software programs.

30 Following punctuation, the system loops to the Equilibrium regime. Further, there is no complexity shuttle. The arrow points in only one direction: toward chaos. But for the commander, statesman, and manager in the day-to-day world of 30 Per Bak and Kan Chen, “Self-Organized Criticality,” Scientific American (January 1991): 46. Chapter 3 45 real outcomes for which they are responsible, the Chaos end zone is a place to avoid. He or she is expected to perform, not evolve (at least not in the biological sense).

10 20 Coping with the Bounds ties. But cas does not do that because the inevitable stagnation of equilibrium would result. Instead, in a process that is neither accidental nor random, cas seems to consist of hierarchies of “slots,” occupied by agents. When an agent is removed from the system by losing its stability with the environment, which includes other agents, it leaves a hole. This is filled in a cascade effect by another agent similar to the former inhabitant, but different enough to achieve the stability to occupy the slot.

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