Demonstration of the stability or instability of multibreathers at low coupling
Pattern Formation and Solitons
2015-06-26 v2
Abstract
Whereas there exists a mathematical proof for one--site breathers stability, and an unpublished one for two--sites breathers, the methods for determining the stability properties of multibreathers rely in numerical computation of the Floquet multipliers or in the weak nonlinearity approximation leading to discrete non--linear Schr\"odinger equations. Here we present a set of multibreather stability theorems (MST) that provides with 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.
Keywords
Cite
@article{arxiv.nlin/0208014,
title = {Demonstration of the stability or instability of multibreathers at low coupling},
author = {J. F. R. Archilla and J. Cuevas and B. Sánchez Rey and A. Alvarez},
journal= {arXiv preprint arXiv:nlin/0208014},
year = {2015}
}
Comments
22 pages, 4 figures