Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable |
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Authors: | Wang Xing-Yuan and Zhang Yong-Lei |
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Affiliation: | Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
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Abstract: | In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is investigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme. |
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Keywords: | modified projective synchronization fractional-order hyperchaotic system single driving variable |
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