Breather initial profiles in chains of weakly coupled anharmonic oscillators

Details Breather initial profiles in chains of weakly coupled anharmonic oscillators Breather initial profiles in chains of weakly coupled anharmonic oscillators

2002-05-22

arxiv.org/abs/nlin/0205050v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 4 figures

Scientific paper

10.1016/S0375-9601(02)00670-9

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.

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