The region of transition between solitons and fronts in dissipative systems governed by the complex Ginzburg-
Landau equation is rich with bifurcations. We found that the number of transitions between various types of
localized structures is enormous. For the first time, we have found a sequence of period-doubling bifurcations of
creeping solitons and also a symmetry-breaking instability of creeping solitons. Creeping solitons may involve
many frequencies in their dynamics resulting, in particular, in a variety of zig-zag motions.