  In this second paper of the series we specify general theory developed in the
first paper. Here we study the structure of Jacobi fields in the case of an
analytic system and piece-wise analytic control. Moreover, we consider only
1-dimensional control variations. Jacobi fields are piece-wise analytic in this
case but may have much more singularities than the control. We derive ODEs that
these fields satisfy on the intervals of regularity and study behavior of the
fields in a neighborhood of a singularity where the ODE becomes singular and
the Jacobi fields may have jumps.
