Publication Date
2005
Journal or Book Title
Physics Review B
Abstract
Geometrical constraints imposed on higher-dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described by sine- plus linear-lattice equations. The interplay between sinusoidal and quadratic potential terms in such models is shown to yield localized nonlinear modes identified as intrinsic resonant modes.
Volume
71
Issue
1
Recommended Citation
Takeno, S; Dmitriev, S. V.; and Kevrekidis, PG, "Nonlinear lattices generated from harmonic lattices with geometric constraints" (2005). Physics Review B. 1090.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1090
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://prb.aps.org/abstract/PRB/v71/i1/e014304