Abstract
Chaotic nature of the fractional-order system and synchronization have been two very significant problems in the nonlinear sciences, even in the complex fractional-order system. In the present manuscript, a study of the fractional-order complex Lorenz system which exhibits a chaotic behavior would be analyzed by numerical simulation results. Stability analysis of fractional-order system has been studied and obtains some useful results for the researcher working in the nonlinear dynamics. Synchronization of the proposed systems is also studied and it has been achieved by active control method.
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