06/04/2011, 02:10 PM
(06/04/2011, 01:56 PM)sheldonison Wrote: I calculated what happens to the fixed points, in going from circle base \( =2\eta+\sqrt{2} \) to base\( =\sqrt{2} \). Moving along the lower circular path, "underneath" eta, I can seamless morph the upper repelling fixed point 2.478+0.8518i seamlessly to a repelling fixed point of 4.0. But the lower fixed point, which starts out at 2.478-0.8518i, and eventually becomes a fixed point of 2.0, somewhere early along the path, around 7 degees/180, the repelling fixed point of 2.478-0.8518i becomes an attracting fixed point of 2.435 - 0.8239i, before continuing on as an attracting fixed point, moving towards 2.0
The switch repelling/attracting imho takes place on the Shell-Tron-boundary.