Article
Demonstration of the stability or instability of multibreathers at low coupling
Author/s | Archilla, Juan F. R.
Cuevas-Maraver, Jesús Sánchez-Rey, Bernardo Romero Romero, Francisco |
Department | Universidad de Sevilla. Departamento de Física Aplicada I Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2003 |
Deposit Date | 2015-04-17 |
Published in |
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Abstract | Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ... Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation of the Floquet multipliers or on the weak nonlinearity approximation leading to discrete nonlinear Schrödinger equations. Here we present a set of multibreather stability theorems (MST) that provides a simple method to determine multibreathers stability in Klein–Gordon systems. These theorems are based in the application of degenerate perturbation theory to Aubry’s band theory. We illustrate them with several examples. |
Funding agencies | European Union (UE) |
Project ID. | info:eu-repo/grantAgreement/EC/FP5/HPRN-CT-1999-00163 |
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