English

The nonlinear magnetoinductive dimer

Exactly Solvable and Integrable Systems 2015-06-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1301.7319,
  title  = {The nonlinear magnetoinductive dimer},
  author = {Mario I. Molina},
  journal= {arXiv preprint arXiv:1301.7319},
  year   = {2015}
}

Comments

4 double-column pages, 6 figures, submitted

R2 v1 2026-06-21T23:17:58.920Z