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

Ognyan Christov

Advances in Mathematical Physics, 2018, vol. 2018, 1-12

Abstract:

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 to apply KAM theory in most cases.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7023696

DOI: 10.1155/2018/7023696

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