Design rules for application specific dynamical systems

This paper explores different forms of custom dynamical systems for decision making. Curiously, covering and association constraints can be rather easily met, and it can sometimes be guaranteed that all feasible solutions (hence including the optimal solution) exist among the attractors. As yet, no general theory exists for designing such systems, but some titillating special cases can be described. Theorems for the pure differential equation layer can lead to simple and direct electronic implementation of new digital devices. The key strength of the application specific dynamical systems (ASDS) approach lies in the fact that all variables are updated in parallel. Thus ASDS method offers the potential of high speed solutions using modern high density integrated circuits hardware.