  Magnetohydrodynamic turbulent flows driven by random mechanical and
electromagnetic external forces of zero helicities are investigated by means of
direct numerical simulations. It is shown that despite the absence of
helicities in the forcing, the system is attracted to self-organized helical
states that exhibit laminar behaviour despite the large value of the Reynolds
numbers examined. We demonstrate that the correlation time of the external
forces is controlling the time spent on these states, i.e. for short
correlation times the system remains in the turbulent state while as the
correlation time is increased the system spends more and more time in the
self-organised states. As a result, time averaged statistics can significantly
be affected by the time spent on these states. These results have important
theoretical implications for the understanding of the suppression of
non-linearities in plasma fusion devises as well as in astrophysical
observations.

Plasma Physics;Solar and Stellar Astrophysics;Adaptation and Self-Organizing Systems;Chaotic Dynamics;Fluid Dynamics