Effect of the introduction of Impurities on the stability properties of multibreathers at low coupling

Abstract

Using a theorem dubbed the multibreather stability theorem (Archilla J F R et al 2003 Physica D 180 235) we have obtained the stability properties of multibreathers in systems of coupled oscillators with on-site potentials, and an inhomogeneity. Analytical results are obtained for two-site and three-site breathers, multibreathers, phonobreathers and dark breathers. The inhomogeneity is considered both at the on-site potential and at the coupling terms. All the results have been checked numerically with excellent agreement. The main conclusion is that the introduction of an impurity does not alter the stability properties.