Moose Paul H. Evolution equations of C3I: cannonical forms and their properties

Monterey, California: U.S. Naval Postgraduate School, 1983. — 40 p.In this paper, five different two-species non-linear evolution equations are described that represent, (a) mixed attrition Lanchester combat with resupply and (b) four different models of information war. Their dynamical properties are analyzed and it is shown that four of the five are environmentally unstable. The meaning of this is interpreted for Command, Control, Communications and Intelligence (C3I), countered , and intelligence operations. For the environmentally unstable systems it is shown that the relationships between the parameters in the model are critical in establishing their mode of behavior, whereas initial conditions are critical in determining the actual trajectories of evolution.