Producción Científica Profesorado

Quasi-periodic breathers in Hamiltonian networks of long-range coupling



Viveros Rogel, Jorge

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.



Producto de Investigación UAEH




Artículos relacionados

Multichannel Detrended Fluctuation Analysis Reveals Synchronized Patterns of Spontaneous Spinal Acti...

REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA

BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks

THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI

CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS

Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle

Propagation of Elastic Waves along Interfaces in Layered Beams

Matematicas en la distribucion espacial de poblaciones

D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory

Una Conjetura de Polya y Szego para el Tono Fundamental de Membranas Poligonales