  Various dynamical regimes associated with confined monopoles in the Higgs
phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has
the SU(2)xU(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor,
and large and (nearly) degenerate mass terms of the matter hypermultiplets. We
present a complete quasiclassical treatment of the BPS sector of this model,
including the full set of the first-order equations, derivations of all
relevant zero modes, and derivation of an effective low-energy theory for the
corresponding collective coordinates. The macroscopic description is provided
by a CP(1) model with or without twisted mass. The confined monopoles -- string
junctions of the microscopic theory -- are mapped onto BPS kinks of the CP(1)
model. The string junction is 1/4 BPS. Masses and other characteristics of the
confined monopoles are matched with those of the CP(1)-model kinks. The
matching demonstrates the occurrence of an anomaly in the monopole central
charge in 4D Yang-Mills theory. We study what becomes of the confined monopole
in the bona fide non-Abelian limit of degenerate mass terms where a global
SU(2) symmetry is restored. The solution of the macroscopic model is known e.g.
from the mirror description of the CP(1) model. The monopoles, aka CP(1)-model
kinks, are stabilized by nonperturbative dynamics of the CP(1) model. We
explain an earlier rather puzzling observation of a correspondence between the
BPS kink spectrum in the CP(1) model and the Seiberg-Witten solution.
