English

Breather initial profiles in chains of weakly coupled anharmonic oscillators

Pattern Formation and Solitons 2014-11-12 v1

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.

Keywords

Cite

@article{arxiv.nlin/0205050,
  title  = {Breather initial profiles in chains of weakly coupled anharmonic oscillators},
  author = {M. Haskins and J. M. Speight},
  journal= {arXiv preprint arXiv:nlin/0205050},
  year   = {2014}
}

Comments

12 pages, 4 figures