Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B2L-D

Session:

Number:274

Existence and stability of discrete breathers in Fermi-Pasta-Ulam lattices

Kazuyuki Yoshimura,  

pp.274-277

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.274

PDF download (297KB)

Discrete breathers are spatially localized periodic solutions in nonlinear lattices. We have proved the existence of two types of discrete breathers, i.e., the Sievers-Takeno and Page modes, in one-dimensional Fermi-Pasta-Ulam lattices, based on an approach using a fixed point theorem to the associated homogeneous potential lattice. Moreover, we have proved that the Sievers-Takeno mode is spectrally unstable while the Page mode is spectrally stable.

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