Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems |
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Authors: | Liping Chen Yi ChaiRanchao Wu |
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Institution: | a School of Automation, Chongqing University, Chongqing 400030, China b School of Mathematics, Anhui University, Hefei 230039, China |
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Abstract: | In this Letter, a new lag projective synchronization for fractional-order chaotic (hyperchaotic) systems is proposed, which includes complete synchronization, anti-synchronization, lag synchronization, generalized projective synchronization. It is shown that the slave system synchronizes the past state of the driver up to a scaling factor. A suitable controller for achieving the lag projective synchronization is designed based on the stability theory of linear fractional-order systems and the pole placement technique. Two examples are given to illustrate effectiveness of the scheme, in which the lag projective synchronizations between fractional-order chaotic Rössler system and fractional-order chaotic Lü system, between fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system, respectively, are successfully achieved. Corresponding numerical simulations are also given to verify the analytical results. |
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Keywords: | Lag projective synchronization Fractional order Chaotic system Hyperchaotic system |
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