Chaos in the BMN matrix model

Understand

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.