Abstract
We have obtained two general unstable periodic solutions near the homoclinicorbits of two coupled Duffing oscillators with weak periodic perturbationsby using the direct perturbation technique. Theoretical analysis revealsthat the stable periodic orbits are embedded in the Melnikov chaoticattractors. The corresponding numerical results show that the phase portraits inthe (x,u) and (y,v) planes are identical andare synchronized when the parameters of the two coupled oscillators areidentical, but they are different and asynchronized when there is anydifference between these parameters. It has been shown that the system parametersplay a very important role in chaos control and synchronization.
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