06/12/2023, 08:15 PM
Daniel - good to read this.
Just a reservation: did you as well consider the periodic points (additional to the fixpoints - infinitely many "sets of p(eriodic)-points" [where p is the length of the period in one set] for each natural p)? It seems impossible to define fractional iterates along the p periodic points in a set.
I don't know what non-degenerate areas in the complex plane are remaining for which fractional complex iteration along continuous trajectories is possible after that ...
Just a reservation: did you as well consider the periodic points (additional to the fixpoints - infinitely many "sets of p(eriodic)-points" [where p is the length of the period in one set] for each natural p)? It seems impossible to define fractional iterates along the p periodic points in a set.
I don't know what non-degenerate areas in the complex plane are remaining for which fractional complex iteration along continuous trajectories is possible after that ...
Gottfried Helms, Kassel
