Breather initial profiles in chains of weakly coupled anharmonic oscillators

M. Haskins; J. M. Speight

doi:10.1016/s0375-9601(02)00670-9

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Breather initial profiles in chains of weakly coupled anharmonic oscillators

M. Haskins·J. M. Speight

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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.

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M. Haskins, J. M. Speight. 2002-05-22. Breather initial profiles in chains of weakly coupled anharmonic oscillators. https://doi.org/10.1016/s0375-9601(02)00670-9

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