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

Abstract

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.

arXiv comment20 pages, 9 figures

References in corpus (4)

• Standing wave instabilities in a chain of nonlinear coupled oscillators
• Demonstration of the stability or instability of multibreathers at low coupling
• Moving discrete breathers in a Klein--Gordon chain with an impurity
• Dark breathers in Klein-Gordon lattices. Band analysis of their stability properties

Cited by in corpus (7)

• Discrete breathers in a forced-damped array of coupled pendula: Modeling, Computation and Experiment
• On the stability of multibreathers in Klein-Gordon chains
• Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors
• Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
• Stability of non-time-reversible phonobreathers
• Discrete breathers in ${\varphi }^4$ and related models
• Breathers in inhomogeneous nonlinear lattices: an analysis via centre manifold reduction