2008
Geng, J; Viveros, J.; Yi, Y. Quasi-periodic breathers in Hamiltonian networks with long-range coupling. Physica D, vol. 237 (2008), pp. 2866-2892 doi:10.1016/j.physd.2008.05.010
Abstract
This work is concerned with Hamiltonian networks of weakly and long-range coupled oscillators with either variable or constant on-sitefrequencies. We derive an infinite dimensional KAM-like theorem by which we establish that, given any N-sites of the lattice, there is a positivemeasure set of small amplitude, quasi-periodic breathers (solutions of the Hamiltonian network that are quasi-periodic in time and exponentiallylocalized in space) having N-frequencies which are only slightly deformed from the on-site frequencies.
BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks
Matematicas en la distribucion espacial de poblaciones
Eigenvalues, K-theory and Minimal Flows
Slow decay of end effects in layered structures with an imperfect interface
Quasi-periodic breathers in Hamiltonian networks of long-range coupling
PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS
Propagation of Elastic Waves along Interfaces in Layered Beams
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle