Construction of quasi-periodic breathers via KAM technique. (English) Zbl 1006.37043
For a chain of anharmonic oscillators with weak (cubic) nearest neighbor interaction potential, quasi-periodic breathers (with stronger than exponential localization in space) are constructed, by means of a KAM theorem.
Reviewer: Jochen Denzler (Knoxville)
MSC:
37K55 | Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems |
37K60 | Lattice dynamics; integrable lattice equations |