Magnetic surfaces are studied on MHD equilibrium plasmas with non-mono
tonic safety factor radial profiles, confined on large aspect-ratio to
kamaks. Perturbing helical windings lead to twin Poincare-Bhirkhoff ch
ains and reconnection phenomenon, giving rise to dimerized island chai
ns. Evolution of radial rotation number profiles, together with the ra
dial progression of equilibrium points clarify the reconnection proces
s. Toroidal perturbation leads to reconnection for values of the param
eter I-h, much lower than those in the integrable case. Then, for high
er I-h, we have overlap of secondary islands and the onset of chaotic
regions from the edge region to the center.