  The centrifugal governor is an example of a dynamical system. Typical of dynamical systems is behavior that changes continuously through time—the height of the flyballs, the speed of the spindle, and the size of the steam valve opening all change continuously through time, and the rate of change in each effects the rate of change of the others. Dynamical systems theory provides the mathematical apparatus—differential and difference equations—to model dynamical systems. It is to these equations that dynamical cognitive science looks for explanations of cognition.