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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"quasiperiodic breathe"" "subject:"quasiperiodic breathed""

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An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems

Viveros Rogel, Jorge 14 November 2007 (has links)
We prove the existence and linear stability of quasi-periodic breather solutions in a 1d Hamiltonian lattice of identical, weakly-coupled, anharmonic oscillators with general on-site potentials and under the effect of long-ranged interaction, via de KAM technique. We prove the persistence of finite-dimensional tori which correspond in the uncoupled limit to N arbitrary lattice sites initially excited. The frequencies of the invariant tori of the perturbed system are only slightly deformed from the frequencies of the unperturbed tori.
KAM theory
Hamiltonian
Lattice
Quasi-periodic breathers
Oscillations
Hamiltonian systems
Energy transfer
Lattice theory

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