atractors with lines

Hi, I have a problem using attractors and rebuilding after it.

The thing is that I want to make the deformation of lines influenced by points.

I have tried to introduce the curves in steps, first axisX and later axisY, in order to keep some lists in right order but it didn't work I imagine because I play just with the intersected points that didn't keep this info in the list. And actually works better for the magnets...but I can't rebuild.

And I had the same same problem playing with meshes because I didn't know how to link the new faces

I need help to build the new lines keeping the position of these new points.

Thanks in advance to the forum!!