Manuscript VII-J@1 · VII-J.tex · section · d8c01b04
A phase-expanded periodic schedule
Directional paths and finite-time reachability › A phase-expanded periodic schedule · lines 914–925
For a quotient that is not strongly connected, one must respect the order of reachable strongly connected components. The convex hull of every cycle in the graph can overestimate attainability from a specified initial component.
The theorem is the timed, phase-explicit version of the periodic-graph mechanism discussed by Fritz Fritz. It does not infer finite-time physical containment from an asymptotic polytope.