We have obtained two general unstable periodic solutions near the homoclini
c orbits of two coupled Duffing oscillators with weak periodic perturbation
s by using the direct perturbation technique. Theoretical analysis reveals
that the stable periodic orbits are embedded in the Melnikov chaotic attrac
tors. The corresponding numerical results show that the phase portraits in
the (x, u) and (y, v) planes are identical and are synchronized when the pa
rameters of the two coupled oscillators are identical, but they are differe
nt and asynchronized when there is any difference between these parameters,
It has been shown that the system parameters play a very important role in
chaos control and synchronization.