Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417265 | Journal of Differential Equations | 2011 | 19 Pages |
Abstract
This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensional Hamiltonian systems, depending on one parameter only. We assume that the linear frequencies are analytic functions of the parameter, satisfy a weak non-degeneracy condition of Rüssmann type and an asymptotic behavior. An application to nonlinear wave equations is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
D. Bambusi, M. Berti, E. Magistrelli,