  Statistical properties of parametric motion in ensembles of Hermitian banded
random matrices are studied. We analyze the distribution of level velocities
and level curvatures as well as their correlation functions in the crossover
regime between three universality classes. It is shown that the statistical
properties of level dynamics are in general non-universal and strongly depend
on the way in which the parametric dynamics is introduced.

Chaotic Dynamics;Chaotic Dynamics