Abstract.
It is proved the existence of an infinite number of periodic solutions of a infinite lattice of particles with a periodic perturbation and nearest neighbor interaction between particles, by using a priori bounds and topological degree together with a limiting argument. We consider a Toda lattice and a singular repulsive lattice as main situations. The question of order between particles is also discussed.
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Received: April 9, 1998; revised: October 9, 1998
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Torres, P. Periodic motions of forced infinite lattices with nearest neighbor interaction. Z. angew. Math. Phys. 51, 333–345 (2000). https://doi.org/10.1007/s000330050001
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DOI: https://doi.org/10.1007/s000330050001