The temporal evolution of Alfven intermittent turbulence in cosmic plasmas
is studied. The chaotic dynamics of a driven-dissipative Alfven system is d
etermined by numerically solving the derivative nonlinear Schrodinger equat
ion in the low-dimensional limit. Two types of Alfven intermittent turbulen
ce are identified: Pomeau-Manneville intermittency and crisis-induced inter
mittency. The significance of this theory for Alfvenic intermittent turbule
nce observed in the solar wind is discussed.