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Art of war hidden in Kolmogorov's equations
Michael K Lauren1, Gregory C McIntosh, Nigel Perry
1Defence Technology Agency, Private Bag 32901, Devonport, Auckland, New Zealand. m.lauren@dta.mil.nz
Abstract:
Here we discuss how Kolmogorov's work on turbulence can be used as the inspiration for a new description of battlefield dynamics. The method presented may also represent a new way of describing self-organizing dynamical systems, in place of conventional differential equation approaches. The key finding is that the rate of attrition in a battle appears to be a function of the fractal dimension of the opposing forces. It is suggested that, this being the case, the fractal dimension could be used as a surrogate to represent the organizational efficiency of one force relative to another, commonly called Command and Control.
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