2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84524We present initial results regarding the existence, stability and interaction of linear and nonlinear vibrational modes in a system of two coupled, one dimensional lattices with unequal numbers of masses. The effects on these nonlinear modes of coupling a near continuum system to a discrete system using a nonlinear coupling are examined. This numerical model is a first step towards investigating the dynamical behavior of a flexible sheet coupled nonlinearly to a semi-rigid support, a system which could conceivably represent a biological cell membrane with a supporting protein network. General implications for the dynamical behavior of continuum systems coupled nonlinearly to discrete systems are introduced.10 pages, 6 figures, to appear in Journal of Biological Physics,related papers at http://Physics.ius.edu/~kyle/Forinash.htmlBiological PhysicsComputational Physicstext