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

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

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-...

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Bibliographic Details
Main Author: Viveros Rogel, Jorge
Published: Georgia Institute of Technology 2008
Subjects:
KAM theory
Hamiltonian
Lattice
Quasi-periodic breathers
Oscillations
Hamiltonian systems
Energy transfer
Lattice theory
Online Access:http://hdl.handle.net/1853/19869

Internet

http://hdl.handle.net/1853/19869

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