  In this work we present a theoretical framework that allows for the existence
of coherent twinlike models in the context of self-dual Maxwell-Higgs theories.
We verify the consistence of this framework by using it to develop some
twinlike self-dual Maxwell-Higgs models. We use a combination of theoretical
and numerical techniques to show that these models exhibit the very same
topological BPS structures, including their field configurations and total
energy. The study shows that it is possible to develop a completely consistent
prescription, which extends the idea of twinlike models to the case of vortices
in Maxwell-Higgs theories.
