On the existence of quasi-periodic lattice oscillations
Kriecherbauer, Thomas
arXiv, 0502077 / Harvested from arXiv
Text on arXiv
We construct multi-phase travelling waves which are periodic in time and quasi-periodic in the spatial variable for infinite nonlinear chains with nearest neighbor interactions. The main difficulty in the construction is a small divisor problem. We prove a KAM-type theorem for an infinite dimensional system following the approach of W. Craig and C. E Wayne which was further developed by J. Bourgain.
Publié le : 2005-02-03
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  Mathematics - Dynamical Systems,  37K60, 34C15 
@article{0502077,
     author = {Kriecherbauer, Thomas},
     title = {On the existence of quasi-periodic lattice oscillations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502077}
}

Kriecherbauer, Thomas. On the existence of quasi-periodic lattice oscillations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502077/