%0 Journal Article
%T Chaos in the BMN matrix model
%A Yuhma Asano
%A Daisuke Kawai
%A Kentaroh Yoshida
%J Physics
%D 2015
%I arXiv
%X We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze: 1) two pulsating fuzzy spheres, 2) a single Coulomb-type potential, and 3) integrable fuzzy spheres. For the first two cases, we show the existence of chaos by computing Poincar\'e sections and a Lyapunov spectrum. The third case leads to an integrable system. As a result, the BMN matrix model is not integrable in the sense of Liouville, though there may be some integrable subsectors.
%U http://arxiv.org/abs/1503.04594v2