  Preliminary results concerning the time evolution of strongly exited SU(2)
Bogomolny-Prasad-Sommerfield (BPS) magnetic monopoles have been published in
Phys. Rev. Lett. 92, 151801 (2004). The behavior of these dynamical magnetic
monopoles was investigated by means of numerical simulations in the four
dimensional Minkowski spacetime. The developed code incorporates both the
techniques of conformal compactification and that of the hyperboloidal initial
value problem. Our primary aim here is to provide a detailed account on the
methods and results of the investigations reported in Phys. Rev. Lett. 92,
151801 (2004). In addition, some important new results, which go much beyond
the scope of these early studies, are also presented. In particular, to be able
to distinguish linear and non-linear effects, evolutions of monopoles deformed
by various excitations, including both very small and extra large energy
excitation, are investigated. In addition, a detailed account is provided on
the spacetime dependence of the basic variables, as well as, that of the other
physically significant dynamical qualities such as the energy and energy
current densities, the radial and angular pressures and the magnetic charge
density. A careful comprehensive study of the associated energy transfers and
energy balances is also included.
