Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:C2L-D
Session:
Number:C2L-D-1
Existence and Stability of Odd and Even Parity Discrete Breathers in Fermi-Pasta-Ulam Lattices
Kazuyuki Yoshimura,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
Discrete breathers are spatially localized periodic solutions in nonlinear lattices. We have proved the existence of discrete breathers having odd and even parity symmetries, i.e., Sievers-Takeno and Page modes, in one-dimensional Fermi-Pasta-Ulam type lattices for a class of nonhomogeneous potentials. Moreover, we have proved that the Sievers-Takeno mode is spectrally unstable while the Page mode is spectrally stable.