  We investigate the large-N limit of the BMN matrix model by analyzing the
dynamics of ellipsoidal M2-branes that spin in the 11-dimensional maximally
supersymmetric SO(3)xSO(6) plane-wave background. We identify finite-energy
solutions by specifying the local minima of the corresponding energy
functional. These configurations are static in SO(3) due to the Myers effect
and rotate in SO(6) with an angular momentum that is bounded from above. As a
first step towards studying their chaotic properties, we evaluate the Lyapunov
exponents of their radial fluctuations.
