  The paper discusses a collapse of a self-interacting electrically charged
scalar field in the decoupling limit of the dilatonic Gauss-Bonnet gravity. The
emerging spacetimes were either non-singular or singular and containing black
holes of a Schwarzschild type. A size of the region, in which the gravitational
dynamics was observed was controlled by an absolute value of the Gauss-Bonnet
coupling. Dependencies of characteristics of the forming black holes on the
dilatonic and Gauss-Bonnet parameters turned out to be similar in the case of
black hole masses and radii as well as their time of formation in terms of
retarded time. In the cases of masses and radii minima were observed, while in
the remaining case a maximum existed. The electric charge of the emerging black
holes possessed a maximum when measured versus the dilatonic coupling constant
and was strictly decreasing with the Gauss-Bonnet coupling. All the
characteristics changed monotonically with the field self-interaction
strengths. The times of formation and charges of black holes decreased, while
masses and radii increased with the self-interaction strengths of the dynamical
fields. Values of the energy density, radial pressure, pressure anisotropy and
the collapsing scalar fields were the biggest along the null hypersurface of
propagation of the initial peaks of the scalar fields. For big values of the
Gauss-Bonnet coupling constant, an increase in their values was also observed
in the vicinity of the central singularity within the whole range of advanced
time. Non-zero values of the dilaton field outside the black hole event horizon
may indicate a formation of a hairy black hole. The local temperature
calculated along the apparent horizon was increasing for late times of the
evolution, that is in non-dynamical spacetime regions, and exhibited extrema in
areas, where the dynamics of the gravity-matter system was observed.
