It might be an easy issue for you, but I cannot see a reason of why the filaments would not enter in a chaotic convergence around the supposed sweet spot. Have you ever twisted a string so much that the twists starts twisting around themselves? It soon becoms a chaotic mass. So, how can you assure me that a chaotic state won’t dominate around the equilibrium point? Chaos would ensue, and a lot of energy would be lost. Fiding an equilibrium point doesn’t seem a trivial question at all, at least for me.
