Example 2. Drives and Their Vicissitudes (cont.)

Expressed in the language of drives and gears our next Example may be described as the family of fourth‑gear curves through the fourth extension   Those are the trajectories generated subject to the dynamic law where it’s understood all higher order differences are equal to

Because and all higher differences are fixed, the state vectors vary only with respect to their projections as points of   Thus there is just enough space in a planar venn diagram to plot the orbits and show how they partition the points of   It turns out there are just two possible orbits, of eight points each, as shown in the following Figure.

Resources

• Differential Logic and Dynamic Systems
• Differential Logic • Drives and Their Vicissitudes

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