Takeno, SDmitriev, S. VKevrekidis, PG2024-04-262024-04-262005-01https://hdl.handle.net/20.500.14394/34139This is the pre-published version harvested from arXiv. The published version is located at http://prb.aps.org/abstract/PRB/v71/i1/e014304Geometrical 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.Physical Sciences and Mathematicsarticle