  Using the path probability and lowest approximation of cluster variation
method, we study the dynamic and equilibrium properties of a bilayer magnetic
system, consisting of two ferromagnetic monolayers antiferromagnetically
coupled for different spins $(\sigma=1/2$ and $S=1)$. Firstly, numerical
results of the monolayer and total magnetizations are presented under the
effect of the diverse physical parameters, and the phase diagrams of bilayer
system are discussed. Then, since it is well established that the path
probability method is an effective method for the existence of metastable
states, the time evolution of monolayer- and total magnetizations is
investigated.
