On-off intermittency is investigated for the model x = (a + Gamma(t))x
- x(3) with Gamma(t) being a stochastic force. The laminar phase dist
ribution w(T) is Studied in the parameter space of bifurcation paramet
er a, noise intensity D and noise correlation time r. It is found that
increasing D may stabilize the fixed point x = 0 and reduce the expon
ential tail in w(T) for a > O. An analytical solution of the laminar p
hase distributions is obtained for white noise and colored noise cases
, respectively which agrees with numerical simulations well.