  Static, spherically symmetric solutions of the Yang-Mills-Dilaton theory are
studied. It is shown that these solutions fall into three different classes.
The generic solutions are singular. Besides there is a discrete set of globally
regular solutions further distinguished by the number of nodes of their
Yang-Mills potential. The third class consists of oscillating solutions playing
the role of limits of regular solutions, when the number of nodes tends to
infinity. We show that all three sets of solutions are non-empty. Furthermore
we give asymptotic formulae for the parameters of regular solutions and
confront them with numerical results.
