  A numerical analysis of several phases in the cold neutral two flavor dense
quark matter is realized. In the analysis, besides the normal, single plane
wave LOFF, and color superconducting 2SC/g2SC phases, we also include two
gluonic phases (the gluonic cylindrical phase II and the gluonic color-spin
locked one). It is shown that these two gluonic phases are dynamically realized
and, on the basis of this analysis, the phase diagram with respect to the
coupling strength in this medium is suggested. In particular, it is shown that
the gluonic phases are energetically favorable in a wide region of the
parameter space. On the other hand, there also exists a window where the LOFF
phase is stable. The 2SC state and the normal one are realized in the strong
and weak coupling regimes, respectively, as was expected.
