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

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

2004-07-06

arxiv.org/abs/nlin/0407009v1

Nonlinearity 18: 769-790 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

20 pages, 9 figures

Scientific paper

10.1088/0951-7715/18/2/016

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.

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