Abstract
We prove the existence of periodic motions of an infinite lattice of particles; the proof involves the study of periodic motions for finite lattices by a linking technique and the passage to the limit by means of Lions' concentration-compactness principle. We also give a numerical picture of the motion of some finite lattices and of the way the solutions for finite lattices approach the solution for the infinite lattice by a technique developed by Choi and McKenna [6].
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