Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices

Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices

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Curling - Shoes - Mens The low-dimensional periodic Klein-Gordon lattices are studied for integrability.We prove that the periodic lattice with two particles and certain nonlinear potential is nonintegrable.However, in the cases of up to six particles, we prove that their Birkhoff-Gustavson normal forms are integrable, which allows us Bookshelf to apply KAM theory in most cases.