Fig. 9
The configuration space remapped using the tangents of quarter angles. ρT is the actual target that we desire, from which off-configuration target ρT′ is derived. A rotational spring potential energy toward ρT′ (Eq. (17)), illustrated by gray area, will uniquely drive from any point on the configuration space to ρT along the configuration space. Note that there is no bifurcation at (0, 0) because energy increases in both modes 2+ and 2−.

The configuration space remapped using the tangents of quarter angles. ρT is the actual target that we desire, from which off-configuration target ρT is derived. A rotational spring potential energy toward ρT (Eq. (17)), illustrated by gray area, will uniquely drive from any point on the configuration space to ρT along the configuration space. Note that there is no bifurcation at (0, 0) because energy increases in both modes 2+ and 2−.

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