  We review our recent work on ellipsoidal M2-brane solutions in the large-N
limit of the BMN matrix model. These bosonic finite-energy membranes live
inside SO(3)xSO(6) symmetric plane-wave spacetimes and correspond to local
extrema of the energy functional. They are static in SO(3) and stationary in
SO(6). Chaos appears at the level of radial stability analysis through the
explicitly derived spectrum of eigenvalues. The angular perturbation analysis
is suggestive of the presence of weak turbulence instabilities that propagate
from low to high orders in perturbation theory.
