Transitions in a system of neutrinos with vacuum mixing and magnetic m
oments propagating in matter and a transverse magnetic field are consi
dered. It is shown that in the realistic case of a magnetic field dire
ction varying along the neutrino path qualitatively new phenomena beco
me possible: the permutation of neutrino conversion resonances, appear
ance of resonances in the neutrino-antineutrino (nu(lL) <-- --> nu(lR)
BAR) transition channels, neutrino-antineutrino resonant conversion, l
arge amplitude nu(lL) <-- --> nu(lR)BAR oscillations, merging of diffe
rent resonances (triple resonances). The possible phenomenological imp
lications of these effects are briefly discussed.