  An exact solution of the equations underlying the
Belinski-Khalatnikov-Lifshitz (BKL) scenario is derived and tested for the
stability against small perturbations. The regularity of the dynamics is
examined using dynamical systems method. An instability and strong nonlinearity
of the dynamics occur in the vicinity of the gravitational singularity. Our
results present the properties of spacetime near the generic gravitational
singularity and seem to be consistent with the BKL conjecture.
