  An extended inertial range dominated by the cross-helicity effects has been
studied for forced (statistically steady) and for freely decaying
magnetohydrodynamic MHD turbulence (with and without imposed/mean magnetic
field) using the spatio-temporal distributed chaos approach. Good agreement
with results of direct numerical simulations, laboratory measurements in MHD
wind (plasma) tunnel, measurements in the Earth's magnetosheath and in the
solar wind has been established. A spontaneous breaking of local reflection
(mirror) symmetry has been briefly discussed for the MHD turbulence with zero
average cross-helicity.
