Effect of the Introduction of Impurities on the Stability Properties of Multibreathers at Low Coupling

Cuevas, J.; Archilla, J. F. R.; Romero, F. R.

Effect of the Introduction of Impurities on the Stability Properties of Multibreathers at Low Coupling

Authors

Cuevas, J.

Archilla, J. F. R.

Romero, F. R.

Description

sing a theorem dubbed the {\em Multibreather Stabiliy Theorem} [Physica D 180 (2003) 235-255] we have obtained the stability properties of multibreathers in systems of coupled oscillators with on-site potentials, with an inhomogeneity. Analytical results are obtained for 2-site, 3-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 a impurity does not alter the stability properties.
20 pages, 9 figures