2017/10/11 by Ognyan Christov, Christov, Ognyan · 1 citation
Physics and Astronomy · #37K60 #70H05 #70H45 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #msc:37K60 #msc:70H05 #msc:70H45 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1710.04136
arxiv created 2017/10/11 · arxiv updated 2017/10/12
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 non integrable. 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.