Obtaining Breathers in Nonlinear Hamiltonian Lattices

Abstract

We present a numerical method for obtaining high-accuracy numerical solutions of spatially localized time-periodic excitations on a nonlinear Hamiltonian lattice. We compare these results with analytical considerations of the spatial decay. We show that nonlinear contributions have to be considered, and obtain very good agreement between the latter and the numerical results. We discuss further applications of the method and results.

21 pages (LaTeX), 8 figures in ps-files, tar-compressed uuencoded file, Physical Review E, in press

References in corpus (4)

• On the Existence of Localized Excitations in Nonlinear Hamiltonian Lattices
• Conditions on the Existence of Localized Excitations in Nonlinear Discrete Systems
• Movability of Localized Excitations in Nonlinear Discrete Systems - a Separatrix Problem
• Localized Excitations in two-dimensional Hamiltonian Lattices

Cited by in corpus (11)

• Discrete Breathers
• Moving discrete breathers?
• Tangent Bifurcation of Band Edge Plane Waves, Dynamical Symmetry Breaking and Vibrational Localization
• Asymmetric gap soliton modes in diatomic lattices with cubic and quartic nonlinearity
• Dark breathers in Klein-Gordon lattices. Band analysis of their stability properties
• Discrete Symmetry and Stability in Hamiltonian Dynamics
• The effect of long-range interactions on the dynamics and statistics of 1D Hamiltonian lattices with on-site potential
• Extreme events due to localisation of energy
• Localized waves in silicates. What do we know from experiments?
• Breather initial profiles in chains of weakly coupled anharmonic oscillators
• Thermal lifetime of breathers