This paper concerns the study of some special ordered structures in turbulent
flows. In particular, a systematic and relevant methodology is proposed to
construct non trivial and non radial rotating vortices with non necessarily
uniform densities and with different m--fold symmetries, m≥1. In
particular, a complete study is provided for the truncated quadratic density
(A∣x∣2+B)1D(x), with D the unit disc. We
exhibit different behaviors with respect to the coefficients A and B
describing the rarefaction of bifurcating curves.Comment: 115 pages, 1 figur