Effect of the Introduction of Impurities on the Stability Properties of Multibreathers at Low Coupling
J. Cuevas, J. F. R. Archilla, F. R. Romero
Abstract
sing a theorem dubbed the 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.
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