Considering the relationships between the parameter and the initial condition of the variables in intracavity-doubled Nd:YAG lasers, some problems under the Bear′s theory are pointed out. A new way of variable cross saturation parameter from coupling between the modes is put forward. The results about numerically calculating the bifurcation diagram in the variable space of the system and the power spectrum under the some controlling parameter in the intracavity doubled Nd:YAG lasers pumped by krypton arc flashlamp are given.