Nonlinear Lattices Generated from Harmonic Lattices with Geometric   Constraints
  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. 
S. Takeno, S. V. Dmitriev, P. G. Kevrekidis and A. R. Bishop