  We examine a nonlinear magnetoinductive dimer and compute its linear and
nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the
rotating-wave approximation. A linear stability analysis of these modes reveals
that the asymmetric mode is always stable, for any allowed value of the
coupling parameter and for both, hard and soft nonlinearity. A numerical
computation of the dimer dynamics reveals a magnetic energy selftrapping whose
threshold increases for increasing dimer coupling.
