Breather initial profiles in chains of weakly coupled anharmonic oscillators
arXiv:nlin/0205050 · doi:10.1016/S0375-9601(02)00670-9
Abstract
A systematic correlation between the initial profile of discrete breathers and their frequency is described. The context is that of a very weakly harmonically coupled chain of softly anharmonic oscillators. The results are structurally stable, that is, robust under changes of the on-site potential and are illustrated numerically for several standard choices. A precise genericity theorem for the results is proved.
12 pages, 4 figures