  We have studied the finite $N$-unit Langevin model subjected to
multiplicative noises, by using the augmented moment method (AMM), as a
continuation of our previous paper [H. Hasegawa, J. Phys. Soc. Jpn. {\bf 75}
(2006) 033001]. Effects of couplings on stationary and dynamical properties of
the model have been investigated. The difference and similarity between the
results of diffusive and sigmoid couplings are studied in details. Time
dependences of average and fluctuations in local and global variables
calculated by the AMM are in good agreement with those of direct simulations
(DSs). We also discuss stationary distributions of local and global variables
with the use of the Fokker-Planck equation (FPE) method and DSs. It is
demonstrated that stationary distributions show much variety when
multiplicative noise and external inputs are taken into account.
