Dmitry Pelinovsky and Vassilis Rothos
Stability of discrete breathers in magnetic metamaterials
"Localized excitations in nonlinear complex systems - current state of the art and future
perspectives" (Edited by R. Carretero-Gonzalez, J. Cuevas-Maraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis,
and F. Palmero-Acebedo) (Springer, NY) pp. 359-376 (2014)
We consider the discrete Klein-Gordon equation for magnetic metamaterials
derived by Eleftheriou, Lazarides, and Tsironis. We obtain a general
criterion for spectral stability of multi-site breathers for a small coupling constant.
We show how this criterion differs from the one derived in the standard discrete
discrete Klein-Gordon equation, discrete breathers, existence and stability,
perturbation theory, magnetic metamaterials.